Tuncay Aktosun

Articles in Scholarly Journals [Incomplete List]

  1. Explicit solutions to the Korteweg–de Vries equation on the half line
    Inverse Problems, vol. 22, no. 6, pp. 2165–2174, 2006
  2. Inverse potential scattering in duct acoustics
    The Journal of the Acoustical Society of America, vol. 119, no. 1, p. 65, 2006
  3. Inverse scattering for vowel articulation with frequency-domain data
    Inverse Problems, vol. 21, no. 3, pp. 899–914, 2005
  4. Inverse spectral-scattering problem with two sets of discrete spectra for the radial Schrödinger equation
    Inverse Problems, vol. 22, no. 1, pp. 89–114, 2005
  5. Construction of the half-line potential from the Jost function
    Inverse Problems, vol. 20, no. 3, pp. 859–876, 2004
  6. Inverse scattering on the line for a generalized nonlinear Schrödinger equation
    Inverse Problems, vol. 20, no. 4, pp. 1267–1280, 2004
  7. Construction of the half-line potential from the Jost function
    Inverse Problems, vol. 20, no. 4, pp. 1355–1355, 2004
  8. Recovery of a potential from the ratio of reflection and transmission coefficients
    Journal of Mathematical Physics, vol. 44, no. 11, p. 4875, 2003
  9. Inverse scattering with partial information on the potential
    Journal of Mathematical Analysis and Applications, vol. 270, no. 1, pp. 247–266, 2002
  10. Potential splitting and numerical solution of the inverse scattering problem on the line
    Mathematical Methods in the Applied Sciences, vol. 25, no. 4, pp. 347–355, 2002
  11. Wave focusing on the line
    Journal of Mathematical Physics, vol. 43, no. 7, p. 3717, 2002
  12. Small-energy asymptotics of the scattering matrix for the matrix Schro¨dinger equation on the line
    Journal of Mathematical Physics, vol. 42, no. 10, p. 4627, 2001
  13. Inverse Problems, vol. 17, no. 4, pp. 619–632, 2001
  14. Inverse Problems, vol. 16, no. 3, pp. 821–838, 2000
  15. Darboux transformation for the Schro¨dinger equation with steplike potentials
    Journal of Mathematical Physics, vol. 41, no. 4, p. 1619, 2000
  16. Factorization and small-energy asymptotics for the radial Schro¨dinger equation
    Journal of Mathematical Physics, vol. 41, no. 7, p. 4262, 2000
  17. Direct and inverse scattering for selfadjoint Hamiltonian systems on the line
    Integral Equations and Operator Theory, vol. 38, no. 2, pp. 129–171, 2000
  18. Inversion of Reflectivity Data for Nondecaying Potentials
    SIAM Journal on Applied Mathematics, vol. 60, no. 4, p. 1340, 2000
  19. Non-uniqueness in the one-dimensional inverse scattering problem
    Inverse Problems, vol. 1, no. 4, pp. 291–300, 1999
  20. Inverse Problems, vol. 12, no. 1, pp. 1–25, 1999
  21. Inverse Problems, vol. 14, no. 2, pp. 211–224, 1999
  22. Asymptotics of the scattering coefficients for a generalized Schro¨dinger equation
    Journal of Mathematical Physics, vol. 40, no. 8, p. 3701, 1999
  23. On the Schro¨dinger equation with steplike potentials
    Journal of Mathematical Physics, vol. 40, no. 11, p. 5289, 1999
  24. Wave scattering in one dimension with absorption
    Journal of Mathematical Physics, vol. 39, no. 4, p. 1957, 1998
  25. On the number of bound states for the one-dimensional Schro¨dinger equation
    Journal of Mathematical Physics, vol. 39, no. 9, p. 4249, 1998
  26. Inverse scattering in one-dimensional nonconservative media
    Integral Equations and Operator Theory, vol. 30, no. 3, pp. 279–316, 1998
  27. Comment on “Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schro¨dinger-type equations” [J. Math. Phys. 37, 5897 (1996)]
    Journal of Mathematical Physics, vol. 38, no. 9, p. 4882, 1997
  28. Integral equation methods for the inverse problem with discontinuous wave speed
    Journal of Mathematical Physics, vol. 37, no. 7, p. 3218, 1996
  29. Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schro¨dinger-type equations
    Journal of Mathematical Physics, vol. 37, no. 12, p. 5897, 1996
  30. SIAM Journal on Applied Mathematics, vol. 56, no. 1, Article ID 0156011, 1996
  31. Inverse wave scattering with discontinuous wave speed
    Journal of Mathematical Physics, vol. 36, no. 6, p. 2880, 1995
  32. Nonuniqueness in inverse acoustic scattering on the line
    Journal of Mathematical Physics, vol. 35, no. 2, p. 693, 1994
  33. Bound states and inverse scattering for the Schro¨dinger equation in one dimension
    Journal of Mathematical Physics, vol. 35, no. 12, p. 6231, 1994
  34. On the Riemann–Hilbert problem for the one-dimensional Schro¨dinger equation
    Journal of Mathematical Physics, vol. 34, no. 7, p. 2651, 1993
  35. Scattering and inverse scattering for a second-order differential equation
    Journal of Mathematical Physics, vol. 34, no. 5, p. 1619, 1993
  36. Scattering and inverse scattering in one-dimensional nonhomogeneous media
    Journal of Mathematical Physics, vol. 33, no. 5, p. 1717, 1992
  37. Inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed
    Journal of Mathematical Physics, vol. 33, no. 4, p. 1395, 1992
  38. A factorization of the scattering matrix for the Schro¨dinger equation and for the wave equation in one dimension
    Journal of Mathematical Physics, vol. 33, no. 11, p. 3865, 1992
  39. Explicit Wiener-Hopf factorization for certain non-rational matrix functions
    Integral Equations and Operator Theory, vol. 15, no. 6, pp. 879–900, 1992
  40. Scattering and inverse scattering for the 1-D Schro¨dinger equation with energy-dependent potentials
    Journal of Mathematical Physics, vol. 32, no. 10, p. 2786, 1991
  41. SIAM Journal on Mathematical Analysis, vol. 22, no. 3, Article ID 0522043, 1991
  42. Scattering for 1D Schrödinger equation with energy-dependent potentials and the recovery of the potential from the reflection coefficient
    Physical Review Letters, vol. 65, no. 11, pp. 1289–1293, 1990
  43. Inverse scattering problem for the 3-D Schro¨dinger equation and Wiener–Hopf factorization of the scattering operator
    Journal of Mathematical Physics, vol. 31, no. 9, p. 2172, 1990
  44. Construction of the potential of the 3D Schrödinger equation from the scattering operator by using a Fredholm integral equation
    Physical Review Letters, vol. 63, no. 23, pp. 2541–2543, 1989
  45. Existence of the Jost operator and solution of the 3D inverse scattering problem by Wiener-Hopf factorization
    Physical Review Letters, vol. 63, no. 7, pp. 697–699, 1989
  46. Potentials Which Cause the Same Scattering at all Energies in One Dimension
    Physical Review Letters, vol. 58, no. 21, pp. 2159–2161, 1987