Aktosun's Publications
-
T. Aktosun and R. Weder.
Factorization for the full-line matrix Schrödinger equation
and a unitary transformation to the half-line scattering.
Journal of Mathematical Physics, Analysis, Geometry 19 (2023), 251-300.
-
T. Aktosun, R. Ercan, and M. Unlu.
The Marchenko method to solve the general system of derivative nonlinear
Schrödinger equations.
Journal of Mathematical Physics 46 (2023), 073502.
-
T. Aktosun, R. Ercan, and M. Unlu.
The generalized Marchenko method in the inverse scattering problem for a first-order linear system with energy-dependent potentials.
Journal of Mathematical Physics, Analysis, Geometry 19 (2023), 3-58.
-
T. Aktosun and M. Unlu.
A generalized method for the Darboux
transformation.
Journal of Mathematical Physics 63 (2022), 103501.
-
T. Aktosun and R. Ercan.
Direct and inverse scattering problems for
the first-order discrete system associated with the derivative NLS system.
Studies in Applied Mathematics 148 (2022), 270-339.
-
T. Aktosun, P. Sacks, and X. C. Xu.
An inverse problem to determine the shape of a human vocal tract.
Journal of Computational and Applied Mathematics 393 (2021), 113477.
-
T. Aktosun and R. Weder.
Direct and inverse scattering for the matrix Schrödinger
equation.
Springer, May 2020, 637 pages.
-
T. Aktosun, A. E. Choque-Rivero, and V. G. Papanicolaou.
Darboux transformation for the discrete Schrödinger equation.
Electronic Journal of Differential Equations 2019 (2019), No. 112, pp. 1-34.
-
T. Aktosun and R. Ercan.
Direct and inverse scattering problems for a first-order system with energy-dependent potentials.
Inverse Problems 35 (2019), 085002.
-
T. Aktosun, A. E. Choque-Rivero, and V. G. Papanicolaou.
Bound states of the discrete Schrödinger equation with compactly supported potentials.
Electronic Journal of Differential Equations 2019 (2019), No. 23, pp. 1-19.
-
T. Aktosun and R. Weder.
Inverse scattering on the half line for the matrix Schrödinger equation.
Journal of Mathematical Physics, Analysis, Geometry 14 (2018), 237-269.
-
T. Aktosun, A. Machuca, and P. Sacks.
Determining the shape of a human vocal tract from pressure measurements at the lips.
Inverse Problems 33 (2017), 115002.
[MR3711796]
-
T. Aktosun and A. E. Choque-Rivero.
Factorization of the transition matrix for the general Jacobi system.
Mathematical Methods in the Applied Sciences 40 (2017), 1964-1972.
[MR3624073]
-
T. Aktosun and V. G. Papanicolaou.
Inverse problem with transmission eigenvalues for the discrete Schrödinger equation.
Journal of Mathematical Physics 56 (2015), 082101.
[MR3455328]
-
T. Aktosun, P. Sacks, and M. Unlu.
Inverse problems for selfadjoint Schrödinger operators on the half line with compactly supported potentials.
Journal of Mathematical Physics 56 (2015), 022106.
[MR3390869]
-
T. Aktosun and V. G. Papanicolaou.
Transmission eigenvalues for the self-adjoint Schrödinger operator on the half line.
Inverse Problems 30 (2014), 075001.
[MR3233014]
-
T. Aktosun, M. Klaus, and R. Weder.
Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line. II.
Journal of Mathematical Physics 55 (2014), 032103.
[MR3221247]
-
T. Aktosun and V. G. Papanicolaou
Reconstruction of the wave speed from transmission eigenvalues for the spherically symmetric variable-speed wave equation.
Inverse Problems 29 (2013), 065007.
[MR3056080]
-
T. Aktosun and R. Weder.
High-energy analysis and Levinson's theorem for the self-adjoint matrix Schrödinger operator on the half line.
Journal of Mathematical Physics 54 (2013), 012108.
[MR3059872]
-
T. Aktosun, D. Gintides, and V. G. Papanicolaou
The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation.
Inverse Problems 27 (2011), 115004.
[MR2851910]
Unique recovery of Inhomogeneity from transmission eigenvalues
Research Insights on Inverse Problems (related to the above article)
-
T. Aktosun, M. Klaus, and R. Weder.
Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line.
Journal of Mathematical Physics 52 (2011), 102101.
[MR2894582]
-
T. Aktosun, F. Demontis, and C. van der Mee.
Exact solutions to the sine-Gordon equation.
Journal of Mathematical Physics 51 (2010), 123521.
[MR2779623]
-
T. Aktosun and C. van der Mee.
Darboux transformation for the NLS equation.
In: Wen-Xiu Ma, Xing-biao Hu, and Qingping Liu (eds.).
Nonlinear and modern mathematical physics .
American Institute of Physics, Melville, NY, pp. 254-263 (2010).
[MR2648968]
[Zbl pre05882160].
-
T. Aktosun, T. Busse, F. Demontis, and C. van der Mee.
Symmetries for exact solutions to the nonlinear Schrödinger equation.
Journal of Physics A 43 (2010), 025202.
[MR2575210]
[Zbl 1189.37074].
-
T. Aktosun, T. Busse, F. Demontis, and C. van der Mee.
Exact solutions to the nonlinear Schrödinger equation.
In: J. A. Ball, V. Bolotnikov, J. W. Helton, L. Rodman, and I. M. Spitkovsky (eds.).
Topics in Operator Theory, Vol. 2: Systems and mathematical physics .
Operator Theory: Advances and Applications, Vol. 203, Birkhäuser, Basel,
pp. 1-12 (2010).
[MR2683234]
[Zbl 1190.37078].
arXiv/nlin.SI/0908.2684.
-
T. Aktosun and C. van der Mee.
A unified approach to Darboux transformations.
Inverse Problems 25 (2009), no. 10, 105003.
[MR2545972]
[Zbl 1185.45006].
-
T. Aktosun.
Inverse Scattering Transform and the theory of solitons.
In: R. A. Meyers (ed.).
Encyclopedia of Complexity and Systems Science.
Springer, New York, 2009, pp. 4960-4971.
[MR3220707]
arXiv/nlin.SI/0905.4746.
-
T. Aktosun and V. G. Papanicolaou.
Time evolution of the scattering data for a fourth-order linear differential operator.
Inverse Problems 24 (2008), no. 5, 055013.
[MR2438948]
[Zbl pre05363106].
-
T. Aktosun, F. Demontis, and C. van der Mee.
Exact solutions to the focusing nonlinear Schrödinger equation.
Inverse Problems 23 (2007), no. 5, 2171-2195.
[MR2353334]
[Zbl 1126.35058].
-
T. Aktosun.
Promoting undergraduate research.
In:
J. A. Gallian (ed.),
Proceedings of the conference on promoting undergraduate research in mathematics.
Am. Math. Soc.,
Providence, RI, 2007, pp. 167-172.
-
T. Aktosun.
Inverse scattering to
determine the shape of a vocal tract.
In:
M. A. Dritschel (ed.),
The extended field of operator theory,
Operator Theory: Advances and Applications, Vol. 171,
Birkhäuser, Basel, 2007, pp. 1-16.
[MR2308554]
[Zbl 1110.35097].
-
T. Aktosun and C. van der Mee.
Explicit solutions to the Korteweg-de Vries equation on the half line.
Inverse Problems 22 (2006), no. 6, 2165-2174.
An example and its animation with no solitons as a Mathematica notebook (1.5 MB).
An example and its animation with
one soliton as a Mathematica notebook (1.6 MB).
An example and its animation with
two solitons as a Mathematica notebook (2.6 MB).
[MR2277535]
[Zbl 1105.35099].
-
T. Aktosun and R. Weder.
The Borg-Marchenko theorem with a continuous spectrum.
In: N. Chernov, Y. Karpeshina, I. W. Knowles, R. T. Lewis, and R. Weikard (eds.),
Recent advances in differential equations and mathematical physics,
Contemporary Mathematics, Vol. 412,
Am. Math. Soc., Providence, 2006, pp. 15-30.
[MR2259097]
[Zbl 1108.34009].
-
T. Aktosun and R. Weder.
Inverse spectral-scattering problem
with two sets of discrete spectra
for the radial Schrödinger equation.
Inverse Problems 22 (2006), no. 1, 89-114.
[MR2194186 (2006j:34022)]
[Zbl 1096.34064].
-
B. J. Forbes, E. R. Pike, D. B. Sharp, and
T. Aktosun.
Inverse potential scattering in duct acoustics.
Journal of the Acoustical Society of America 119 (2006), no. 1,
65-73.
-
T. Aktosun,
M. H. Borkowski, A. J. Cramer, and L. C. Pittman.
Inverse scattering with rational scattering coefficients
and wave propagation in nonhomogeneous media.
In:
R. Kaashoek, S. Seatzu, and C. van der Mee (eds.),
Recent advances in operator theory and its applications,
Operator Theory: Advances and Applications, Vol. 160,
Birkhäuser, Basel, 2005, pp. 1-20.
[MR2191081]
[Zbl 1096.34006].
-
T. Aktosun.
Solitons and inverse scattering transform.
In: Dominic P. Clemence and Guoqing Tang (eds.),
Mathematical studies in nonlinear wave propagation,
Contemporary Mathematics, Vol. 379,
Am. Math. Soc., Providence, 2005, pp. 47-62.
[MR2149045 (2006e:35335)]
[Zbl 1086.35085].
-
T. Aktosun.
Inverse scattering for vowel articulation with frequency-domain data.
Inverse Problems 21 (2005), no. 3, 899-914.
[MR2144810 (2006a:35305)]
[Zbl 1084.35117].
-
T. Aktosun.
Inverse scattering on the line
with incomplete scattering data.
In: C. Conca, R. Manásevich, G. Uhlmann, and M. S. Vogelius (eds.),
Partial differential equations and inverse problems,
Contemporary Mathematics, Vol. 362,
Am. Math. Soc., Providence, 2004, pp. 1-11.
[MR2091487 (2005g:34025)]
[Zbl 1072.34010].
T. Aktosun.
Inverse scattering transform, KdV,
and solitons.
In:
J. A. Ball, J. W. Helton, M. Klaus, and L. Rodman (eds.),
Current trends in operator theory and its applications,
Birkhäuser, Basel, 2004, pp. 1-22.
[MR2063745 (2005b:37165)]
[Zbl 1062.37087].
T. Aktosun, V. G. Papanicolaou, and V. Zisis.
Inverse scattering on the line for a generalized nonlinear Schrödinger
equation.
Inverse Problems 20 (2004), no. 4, 1267-1280.
[MR2087990 (2005d:34022)]
[Zbl 1063.34006].
T. Aktosun.
Construction of the half-line potential from the Jost function.
Inverse Problems 20 (2004), no. 3, 859-876.
[MR2067505 (2005k:34331)]
[Zbl 1071.34006].
Corrigendum.
Inverse Problems 20 (2004), no. 4, 1355.
[MR2087996]
[Zbl pre02124990].
T. Aktosun and V. G. Papanicolaou.
Recovery of a potential from the ratio of reflection
and transmission coefficients.
J. Math. Phys. 44 (2003), no. 11, 4875-4883.
[MR2014834 (2004h:81265)]
[Zbl 1062.81147].
T. Aktosun and R. Weder.
Inverse scattering with partial information on the potential.
J. Math. Anal. Appl. 270 (2002),
no. 1, 247-266.
[MR1911764 (2003f:34169)]
[Zbl 1012.34080].
T. Aktosun and J. H. Rose.
Wave focusing on the line.
J. Math. Phys. 43 (2002), no. 7, 3717-3745.
Focusing wave (QuickTime Movie, 24.5 MB)
[MR1908696 (2003h:35148)]
[Zbl 1060.35066].
T. Aktosun and P. E. Sacks.
Potential splitting and numerical solution of
the inverse scattering problem on the line.
Math. Methods Appl. Sci. 25 (2002), no. 4, 347-355.
Quicktime animation of the solution of the KdV equation (1.9 MB).
[MR1875708 (2002j:34145)]
[Zbl 1054.34137].
T. Aktosun, M. Klaus, and C. van der Mee.
Small-energy asymptotics of the scattering matrix for the matrix
Schrödinger equation on the line.
J. Math. Phys. 42 (2001), no. 10, 4627-4652.
[MR1855088 (2002j:81269)]
[Zbl 1017.81046].
T. Aktosun and M. Klaus.
Chapter 2.2.4: Inverse theory: problem on the line.
In:
E. R. Pike and P. C. Sabatier (eds.),
Scattering,
Academic Press, London, 2001, pp. 770-785.
T. Aktosun and M. Klaus.
Small-energy asymptotics for the Schrödinger equation on the line.
Inverse Problems 17 (2001), no. 4, 619-632.
[MR1861473 (2002h:34182)]
[Zbl 0989.81129].
T. Aktosun, M. Klaus, and C. van der Mee.
Direct and inverse scattering for selfadjoint Hamiltonian
systems on the line.
Integral Equations Operator Theory 38 (2000), no. 2, 129-171.
[MR1791049 (2002e:34141)]
[Zbl 0970.34072].
T. Aktosun.
Factorization and small-energy asymptotics for the radial Schrödinger
equation.
J. Math. Phys. 41 (2000), no. 7, 4262-4270.
[MR1765585 (2001g:81265)]
[Zbl 0973.81129].
T. Aktosun and P. E. Sacks.
Phase recovery with nondecaying potentials.
Inverse Problems 16 (2000), no. 3, 821-838.
[MR 2002d:34018a]
[Zbl 0962.35183].
Erratum.
Inverse Problems 17 (2001), no. 2, 364.
[MR1838234 (2002d:34018b)]
[Zbl 0980.35171].
T. Aktosun.
Darboux transformation for the Schrödinger equation with steplike potentials.
J. Math. Phys. 41 (2000), no. 4, 1619-1631.
[MR1751849 (2001h:81266)]
[Zbl 0977.81012].
T. Aktosun, M. Klaus, and C. van der Mee.
Integral equations in inverse scattering,
In:
J. K. Lu and G. C. Wen (eds.),
Boundary value problems, integral equations and related problems,
World Scientific Publ., River Edge, NJ, 2000, pp. 13-22.
[MR1824377 (2002a:81331)]
[Zbl 0980.45004].
T. Aktosun and P. E. Sacks.
Inversion of reflectivity data for nondecaying potentials.
SIAM J. Appl. Math. 60 (2000), no. 4, 1340-1356.
[MR1760038 (2001b:81156)]
[Zbl 0956.34073].
T. Aktosun.
On the Schrödinger equation with steplike potentials.
J. Math. Phys. 40 (1999), no. 11, 5289-5305.
[MR1722311 (2000j:81274)]
[Zbl 0968.81020].
T. Aktosun and M. Klaus.
Asymptotics of the scattering coefficients for a generalized
Schrödinger equation.
J. Math. Phys. 40 (1999), no. 8, 3701-3709.
[MR1702436 (2000d:34180)]
[Zbl 0953.34071].
T. Aktosun, M. Klaus, and C. van der Mee.
On the number of bound states for the one-dimensional Schrödinger equation.
J. Math. Phys. 39 (1998), no. 9, 4249-4256.
[MR1643229 (99j:81026)]
[Zbl 0931.34069].
T. Aktosun, M. Klaus, and C. van der Mee.
Wave scattering in 1-D nonconservative media.
In:
A. G. Ramm (ed.),
Spectral and scattering theory,
Plenum Press, New York, 1998, pp. 1-18.
[MR1625267 (99d:34163)]
[Zbl 0903.34073].
T. Aktosun, M. Klaus, and C. van der Mee.
Inverse scattering in one-dimensional nonconservative media.
Integral Equations Operator Theory 30 (1998), no. 3, 279-316.
[MR1608677 (99b:34136)]
[Zbl 0916.34070].
T. Aktosun, M. Klaus, and C. van der Mee.
Wave scattering in one dimension with absorption.
J. Math. Phys. 39 (1998), no. 4, 1957-1992.
[MR1614734 (99b:34137)]
[Zbl 1001.34074].
T. Aktosun and P. Sacks.
Inverse problem on the line without phase information.
Inverse Problems 14 (1998), no. 2, 211-224.
[MR1619433 (98m:34026)]
[Zbl 0902.34011].
T. Aktosun, M. Klaus, and C. van der Mee.
The one-dimensional inverse scattering problem for nonhomogeneous
media with discontinuous wavespeed.
In:
D. Hinton and P. W. Schaefer (eds.),
Spectral theory and computational methods of Sturm-Liouville
problems,
Lecture Notes in Mathematics, Vol. 191,
Marcel Dekker, New York, 1997, pp. 105-133.
[MR1460548 (98h:34142)]
[Zbl 0883.34077].
T. Aktosun, M. Klaus, and C. van der Mee.
Factorization of scattering matrices due to partitioning
of potentials
in one-dimensional Schrödinger-type equations.
J. Math. Phys. 37 (1996), no. 12, 5897-5915.
[MR1419143 (97j:34111)]
[Zbl 0910.34069].
T. Aktosun, M. Klaus, and C. van der Mee.
Integral equation methods for the inverse problem with
discontinuous wave speed.
J. Math. Phys. 37 (1996), no. 7, 3218-3245.
[MR1401224 (97f:81169)]
[Zbl 0897.34018].
T. Aktosun, M. Klaus, and C. van der Mee.
Recovery of discontinuities in a non-homogeneous medium.
Inverse Problems 12 (1996), no. 1, 1-25.
[MR1377128 (96m:34019)]
[Zbl 0848.34070].
T. Aktosun.
Inverse Schrödinger scattering on the line with partial
knowledge of the potential.
SIAM J. Appl. Math.
56 (1996), no.1, 219-231.
[MR1372897 (96m:81250)]
[Zbl 0844.34016].
T. Aktosun, M. Klaus, and C. van der Mee.
On the recovery of a discontinuous wavespeed in wave scattering
in a nonhomogeneous medium.
In: D. Ivanchev and D. Mishev (eds.),
Applications of mathematics in Engineering,
Institute of Applied
Mathematics and Informatics, Technical University, Sofia, 1995, pp. 9-27.
T. Aktosun, M. Klaus, and C. van der Mee.
Inverse scattering problem for the wave equation with discontinuous wavespeed.
In:
D. Bainov and V. Covachev
(eds.),
Proceedings of the Fifth International
Colloquium on Differential Equations:
Plovdiv, Bulgaria, 18-23 August, 1994,
VSP, Utrecht, 1995, pp. 3-21.
[MR1458342 (98d:34115)]
[Zbl 0843.34079].
T. Aktosun, M. Klaus, and C. van der Mee.
Inverse wave
scattering with discontinuous wave speed.
J. Math. Phys. 36
(1995), no. 6, 2880-2928.
[MR1331294 (96k:34181)]
[Zbl 0843.34080].
T. Aktosun.
Bound states and inverse scattering for the Schrödinger
equation in one dimension.
J. Math. Phys. 35
(1994), no. 12, 6231-6236.
[MR1303042 (95i:81262)]
[Zbl 0822.34070].
T. Aktosun and C. van der Mee.
Inverse scattering in
one dimension for
a generalized
Schrödinger equation.
In:
H. V. von Geramb (ed.),
Quantum inversion
theory and applications,
Lecture Notes in Phys., Vol. 427,
Springer, Berlin, 1994, pp. 37-49.
[MR1267769 (95b:81221)]
[Zbl 0797.34084].
T. Aktosun and C. van der Mee.
Nonuniqueness in inverse acoustic scattering on
the line.
J. Math. Phys. 35 (1994), no. 2, 693-709.
[MR1257541 (94m:34031)]
[Zbl 0806.34014].
T. Aktosun.
Scattering and inverse scattering for a second-order differential
equation.
J. Math. Phys. 34 (1993), no. 5, 1619-1634.
[MR1214478 (94f:34164)]
[Zbl 0773.34011].
T. Aktosun, M. Klaus, and C. van der Mee.
On the Riemann-Hilbert problem for the one-dimensional
Schrödinger equation.
J. Math. Phys. 34 (1993),
no. 7, 2651-2690.
[MR1224170 (95f:34130)]
[Zbl 0777.34056].
T. Aktosun.
A factorization of the scattering matrix for the Schrödinger
equation and for the wave equation in one dimension.
J. Math. Phys. 33 (1992), no. 11, 3865-3869.
[MR1185863 (94b:81136)]
[Zbl 0762.35075].
T. Aktosun, M. Klaus, and C. van der Mee.
Explicit Wiener-Hopf
factorization for certain nonrational matrix functions.
Integral Equations Operator Theory 15 (1992), no. 6, 879-900.
[MR1188785 (93j:47030)]
[Zbl 0790.47012].
T. Aktosun, M. Klaus, and C. van der Mee.
Scattering and
inverse scattering in one dimensional nonhomogeneous media.
J. Math. Phys. 33 (1992), no. 5, 1717-1744.
[MR1158993 (93g:81200)]
[Zbl 0760.35032].
T. Aktosun, M. Klaus, and C. van der Mee.
Inverse scattering
in 1-D nonhomogeneous media and the recovery of the wave speed.
J. Math. Phys. 33 (1992), no. 4, 1395-1402.
[MR1154018 (92m:81300)]
[Zbl 0756.34083].
T. Aktosun and C. van der Mee.
Wiener-Hopf factorization in multidimensional inverse Schrödinger
scattering.
In: D. H. Sattinger, C. A. Tracy, and S. Venakides (eds.),
Inverse scattering and
applications,
Contemporary Mathematics, Vol. 122,
Amer. Math. Soc., Providence, 1991, pp. 1-11.
[MR1135851 (92g:35163)]
[Zbl 0742.35044].
T. Aktosun and C. van der Mee.
Scattering and inverse scattering
for the 1-D Schrödinger equation with energy-dependent potentials.
J. Math. Phys. 32 (1991), no. 10, 2786-2801.
[MR1130552 (93b:34107)]
[Zbl 0758.35055].
T. Aktosun and C. van der Mee.
Solution of the inverse scattering
problem for the three dimensional Schrödinger
equation using a Fredholm integral
equation.
SIAM J. Math. Anal. 22 (1991), no. 3, 717-731.
[MR1091677 (92a:81217)]
[Zbl 0737.35049].
T. Aktosun and C. van der Mee.
Wiener-Hopf factorization
in the inverse scattering theory for the n-D Schrödinger equation.
In: H. Bart, I. Gohberg, and M. A. Kaashoek (eds.),
Topics in matrix and operator theory,
Oper. Theory Adv. Appl., Vol. 50,
Birkhäuser,
Basel, 1991, pp. 1-21.
[MR1115022 (92f:35050)]
[Zbl 0739.35056].
T. Aktosun and C. van der Mee.
Scattering for the 1-D
Schrödinger equation with energy-dependent potentials and the recovery of
the potential from the reflection coefficient.
Phys. Rev. Lett. 65
(1990), no. 11, 1289-1293.
[MR1069087 (92b:81211)]
[Zbl 1050.81706].
T. Aktosun and C. van der Mee.
Inverse scattering problem for
the 3-D Schrödinger equation and Wiener-Hopf factorization of
the scattering operator.
J. Math. Phys. 31
(1990), no. 9, 2172-2180.
[MR1067836 (92c:35120)]
[Zbl 0724.47043].
T. Aktosun and C. van der Mee.
Multidimensional inverse quantum
scattering problem and Wiener-Hopf factorization.
In: P. C. Sabatier (ed.),
Inverse methods in
action,
Springer, Berlin, 1990, pp. 239-245.
[MR1107970].
T. Aktosun and C. van der Mee.
Construction of the potential of
the 3-D Schrödinger equation from the scattering operator by using a
Fredholm integral equation.
Phys. Rev. Lett. 63
(1989), no. 23, 2541-2543.
[MR1025449 (90k:81258)].
T. Aktosun and C. van der Mee.
Existence of the Jost operator
and solution of the 3-D inverse scattering problem by Wiener-Hopf
factorization.
Phys. Rev. Lett. 63
(1989), no. 7, 697-699.
[MR1009538 (90h:81196)].
T. Aktosun.
Exact solutions of the Schrödinger equation and the
nonuniqueness of inverse scattering on the line.
Inverse Problems 4
(1988), no. 2, 347-352.
[MR0954897 (89j:81232)]
[Zbl 0645.34019].
T. Aktosun.
Marchenko inversion for perturbations. II: Inclusion of bound
states.
Inverse Problems 3
(1987), no. 4, 565-575.
[MR0928045 (90e:81256b)]
[Zbl 0641.35069].
T. Aktosun.
Stability of the Marchenko inversion.
Inverse Problems 3
(1987), no. 4, 555-563.
[MR0928044 (90d:81126)]
[Zbl 0641.35070].
T. Aktosun.
Marchenko inversion for perturbations. I.
Inverse Problems 3
(1987), no. 4, 523-553.
[MR0928043 (90e:81256a)]
[Zbl 0641.35068].
T. Aktosun.
Potentials which cause the same scattering at all energies in
one dimension.
Phys. Rev. Lett.
58
(1987), no. 21, 2159-2161.
[MR0888716 (89f:81223)].
T. Aktosun.
An integral expression for the Jost matrix of the nonrelativistic
quantum scattering on the line.
Inverse Problems 3
(1987), no. 1, L5-L7.
[MR0875309 (88a:81195)]
[Zbl 0625.35075].
T. Aktosun.
Examples of non-uniqueness in one-dimensional inverse
scattering for which T(k)=O(k3) and O(k4) as k -> 0.
Inverse Problems 3
(1987), no. 1, L1-L3.
[MR0875308 (88c:81115)]
[Zbl 0625.35074].
T. Aktosun and R. G. Newton.
Non-uniqueness in the one-dimensional
inverse scattering problem.
Inverse Problems 1
(1985), no. 4, 291-300.
[MR0824131 (87g:81125)]
[Zbl 0602.47036].
Tuncay Aktosun
aktosun@uta.edu
Last modified: August 3, 2023.