Using the complex WKB method for studying the evolution of initial pulses obeying the nonlinear Schr�dinger equation

A. V. Shapovalov; S. N. Yurchenko

doi:10.1007/bf00560420

Using the complex WKB method for studying the evolution of initial pulses obeying the nonlinear Schr�dinger equation

Russian Physics Journal ◽

10.1007/bf00560420 ◽

1993 ◽

Vol 36 (5) ◽

pp. 431-437

Author(s):

A. V. Shapovalov ◽

S. N. Yurchenko

Keyword(s):

Wkb Method ◽

Dinger Equation ◽

Complex Wkb Method

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The Complex WKB Method

Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations - Pseudo-Differential Operators ◽

10.1007/978-3-030-10819-9_7 ◽

2019 ◽

pp. 135-155

Author(s):

Johannes Sjöstrand

Keyword(s):

Wkb Method ◽

Complex Wkb Method

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On the Complex WKB Method for a Secondary Turning Point Problem

Tokyo Journal of Mathematics ◽

10.3836/tjm/1255958179 ◽

2001 ◽

Vol 24 (2) ◽

pp. 343-358 ◽

Cited By ~ 1

Author(s):

Minoru NAKANO

Keyword(s):

Turning Point ◽

Point Problem ◽

Wkb Method ◽

Complex Wkb Method

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Complex WKB method for difference equations in unbounded domains

2016 Days on Diffraction (DD) ◽

10.1109/dd.2016.7756830 ◽

2016 ◽

Author(s):

Alexander Fedotov ◽

Ekaterina Shchetka

Keyword(s):

Difference Equations ◽

Unbounded Domains ◽

Wkb Method ◽

Complex Wkb Method

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Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial

St Petersburg Mathematical Journal ◽

10.1090/spmj/1497 ◽

2018 ◽

Vol 29 (2) ◽

pp. 363-381 ◽

Cited By ~ 3

Author(s):

A. Fedotov ◽

E. Shchetka

Keyword(s):

Schrödinger Equation ◽

Trigonometric Polynomial ◽

Schrodinger Equation ◽

Wkb Method ◽

Complex Wkb Method

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The Complex WKB Method for Difference Equations in Bounded Domains

Journal of Mathematical Sciences ◽

10.1007/s10958-017-3402-8 ◽

2017 ◽

Vol 224 (1) ◽

pp. 157-169 ◽

Cited By ~ 3

Author(s):

A. A. Fedotov ◽

E. V. Shchetka

Keyword(s):

Difference Equations ◽

Bounded Domains ◽

Wkb Method ◽

Complex Wkb Method

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The Complex WKB Method for Nonlinear Equations 1: Linear Theory (Victor P. Maslov)

SIAM Review ◽

10.1137/1038024 ◽

1996 ◽

Vol 38 (1) ◽

pp. 168-171

Author(s):

Evans M. Harrell, II

Keyword(s):

Linear Theory ◽

Nonlinear Equations ◽

Wkb Method ◽

Complex Wkb Method

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The Complex WKB Method for Nonlinear Equations I

10.1007/978-3-0348-8536-2 ◽

1994 ◽

Cited By ~ 64

Author(s):

Victor P. Maslov

Keyword(s):

Nonlinear Equations ◽

Wkb Method ◽

Complex Wkb Method

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Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0253-6 ◽

2011 ◽

Vol 173 (3) ◽

pp. 320-339

Author(s):

A. A. Fedotov

Keyword(s):

Schrödinger Operator ◽

Schrodinger Operator ◽

Wkb Method ◽

Periodic Schrödinger Operator ◽

Complex Wkb Method

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Some examples of the generalized Borel transform approach to the complex WKB method

Theoretical and Mathematical Physics ◽

10.1007/bf01018569 ◽

1994 ◽

Vol 100 (3) ◽

pp. 1046-1054 ◽

Cited By ~ 2

Author(s):

V. P. Gurarii ◽

V. I. Matsaev

Keyword(s):

Wkb Method ◽

Borel Transform ◽

Complex Wkb Method

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Complex WKB method for calculating the asymptotic behavior of phase integrals

Theoretical and Mathematical Physics ◽

10.1007/bf01029038 ◽

1976 ◽

Vol 28 (2) ◽

pp. 787-791

Author(s):

An' Vu Le

Keyword(s):

Asymptotic Behavior ◽

Wkb Method ◽

Complex Wkb Method

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