On the Discrete Spectrum of the Nonstationary Schrödinger Equation and Multipole Lumps of the Kadomtsev-Petviashvili I Equation

Javier Villarroel; Mark J. Ablowitz

doi:10.1007/s002200050716

On the Discrete Spectrum of the Nonstationary Schrödinger Equation and Multipole Lumps of the Kadomtsev-Petviashvili I Equation

Communications in Mathematical Physics ◽

10.1007/s002200050716 ◽

1999 ◽

Vol 207 (1) ◽

pp. 1-42 ◽

Cited By ~ 57

Author(s):

Javier Villarroel ◽

Mark J. Ablowitz

Keyword(s):

Schrödinger Equation ◽

Discrete Spectrum ◽

Schrodinger Equation ◽

Nonstationary Schrödinger Equation

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Long-Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions in the Presence of a Discrete Spectrum

Communications in Mathematical Physics ◽

10.1007/s00220-021-03968-5 ◽

2021 ◽

Vol 382 (3) ◽

pp. 1495-1577

Author(s):

Gino Biondini ◽

Sitai Li ◽

Dionyssios Mantzavinos

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Discrete Spectrum ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Asymptotics ◽

Long Time ◽

Nonzero Boundary ◽

Long Time Asymptotics

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Family of finite-difference schemes with approximate transparent boundary conditions for the generalized nonstationary Schrödinger equation in a semi-infinite strip

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511030122 ◽

2011 ◽

Vol 51 (3) ◽

pp. 355-376 ◽

Cited By ~ 8

Author(s):

I. A. Zlotnik

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Infinite Strip ◽

Transparent Boundary Conditions ◽

Nonstationary Schrödinger Equation

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Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed N-soliton potential

Journal of Mathematical Physics ◽

10.1063/1.2393144 ◽

2006 ◽

Vol 47 (12) ◽

pp. 123510 ◽

Cited By ~ 10

Author(s):

M. Boiti ◽

F. Pempinelli ◽

A. K. Pogrebkov

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Scattering Transform ◽

Nonstationary Schrödinger Equation

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On linear similarity of certain nonselfadjoint operators to selfadjoint operators and on the asymptotic behavior for 𝑡→∞ of the solution of a nonstationary Schrödinger equation

Thirteen Papers on Functional Analysis and Differential Equations - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/079/06 ◽

1968 ◽

pp. 97-150 ◽

Cited By ~ 1

Author(s):

I. V. Stankevič

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Selfadjoint Operators ◽

Nonstationary Schrödinger Equation

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Optimal control problem for nonstationary Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20395 ◽

2009 ◽

Vol 25 (5) ◽

pp. 1195-1203 ◽

Cited By ~ 3

Author(s):

Bunyamin Yildiz ◽

Oguz Kilicoglu ◽

G. Yagubov

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Schrodinger Equation ◽

Nonstationary Schrödinger Equation

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Exact solutions of the nonstationary Schrödinger equation

Theoretical and Mathematical Physics ◽

10.1007/bf02557214 ◽

1999 ◽

Vol 121 (3) ◽

pp. 1700-1700

Author(s):

E. P. Velicheva ◽

A. A. Suz'ko

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Schrodinger Equation ◽

Nonstationary Schrödinger Equation

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The rigorous (nonvariational) solution of the Schrödinger equation for a molecular potential of arbitrary shape. II. The basis functions, discrete spectrum, and the special case ofMTpotential

International Journal of Quantum Chemistry ◽

10.1002/qua.560400109 ◽

1991 ◽

Vol 40 (1) ◽

pp. 87-95

Author(s):

I. I. Gegusin

Keyword(s):

Schrödinger Equation ◽

Discrete Spectrum ◽

Arbitrary Shape ◽

Schrodinger Equation ◽

Basis Functions ◽

Molecular Potential ◽

Special Case

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Calculation of eigenvalues of the discrete spectrum of the Schrödinger equation for arbitrary one-dimensional finite even potential wells

Doklady Physics ◽

10.1134/s1028335807060018 ◽

2007 ◽

Vol 52 (6) ◽

pp. 295-299 ◽

Cited By ~ 1

Author(s):

A. A. Sobko

Keyword(s):

Schrödinger Equation ◽

Discrete Spectrum ◽

Schrodinger Equation ◽

Potential Wells ◽

One Dimensional

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Sturmian technique for the discrete spectrum of the Schrodinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/13/12/010 ◽

1980 ◽

Vol 13 (12) ◽

pp. 3605-3617 ◽

Cited By ~ 3

Author(s):

J P Gazeau

Keyword(s):

Schrödinger Equation ◽

Discrete Spectrum ◽

Schrodinger Equation

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On time evolutions associated with the nonstationary Schrödinger equation

L. D. Faddeev’s Seminar on Mathematical Physics - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/201/13 ◽

2000 ◽

pp. 239-255 ◽

Cited By ~ 2

Author(s):

A. K. Pogrebkov

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Nonstationary Schrödinger Equation

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