Self-similar solutions of equations of the nonlinear Schrödinger type

V. G. Marikhin; A. B. Shabat; M. Boiti; F. Pempinelli

doi:10.1134/1.559138

Self-similar solutions of equations of the nonlinear Schrödinger type

Journal of Experimental and Theoretical Physics ◽

10.1134/1.559138 ◽

2000 ◽

Vol 90 (3) ◽

pp. 553-561 ◽

Cited By ~ 11

Author(s):

V. G. Marikhin ◽

A. B. Shabat ◽

M. Boiti ◽

F. Pempinelli

Keyword(s):

Nonlinear Schrödinger ◽

Self Similar ◽

Solutions Of Equations ◽

Similar Solutions

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Self-similar solutions for a coupled system of nonlinear Schrodinger equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/25/9/034 ◽

1992 ◽

Vol 25 (9) ◽

pp. 2649-2667 ◽

Cited By ~ 20

Author(s):

L Gagnon

Keyword(s):

Coupled System ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Self Similar ◽

Similar Solutions

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New Self-Similar Solutions of the Nonlinear Schrödinger Equation with Moving Mesh Computations

Journal of Computational Physics ◽

10.1006/jcph.1999.6262 ◽

1999 ◽

Vol 152 (2) ◽

pp. 756-789 ◽

Cited By ~ 41

Author(s):

Chris J Budd ◽

Shaohua Chen ◽

Robert D Russell

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Moving Mesh ◽

Nonlinear Schrödinger ◽

Self Similar ◽

Similar Solutions

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Self-similar solutions to the derivative nonlinear Schrödinger equation

Journal of Differential Equations ◽

10.1016/j.jde.2019.11.089 ◽

2020 ◽

Vol 268 (12) ◽

pp. 7940-7961

Author(s):

Kazumasa Fujiwara ◽

Vladimir Georgiev ◽

Tohru Ozawa

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Self Similar ◽

Similar Solutions

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Comment on “Exact Self-Similar Solutions of the Generalized Nonlinear Schrödinger Equation with Distributed Coefficients”

Physical Review Letters ◽

10.1103/physrevlett.92.199401 ◽

2004 ◽

Vol 92 (19) ◽

Cited By ~ 65

Author(s):

V. N. Serkin ◽

Akira Hasegawa ◽

T. L. Belyaeva

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Similar ◽

Generalized Nonlinear Schrödinger Equation ◽

Similar Solutions

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Solitary and self-similar solutions of two-component system of nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2006.07.009 ◽

2006 ◽

Vol 220 (2) ◽

pp. 99-115 ◽

Cited By ~ 20

Author(s):

Tai-Chia Lin ◽

Juncheng Wei

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Component System ◽

Component System ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Two Component ◽

Self Similar ◽

Similar Solutions

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Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation.

10.1307/mmj/1029004922 ◽

1994 ◽

Vol 41 (1) ◽

pp. 151-173 ◽

Cited By ~ 32

Author(s):

Otared Kavian ◽

Fred B. Weissler

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Conformally Invariant ◽

Self Similar ◽

Similar Solutions

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Exact Self-Similar Solutions of the Generalized Nonlinear Schrödinger Equation with Distributed Coefficients

Physical Review Letters ◽

10.1103/physrevlett.90.113902 ◽

2003 ◽

Vol 90 (11) ◽

Cited By ~ 378

Author(s):

V. I. Kruglov ◽

A. C. Peacock ◽

J. D. Harvey

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Similar ◽

Generalized Nonlinear Schrödinger Equation ◽

Similar Solutions

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Self-Similar Solutions for Nonlinear Schrödinger Equations

Methods and Applications of Analysis ◽

10.4310/maa.2003.v10.n1.a7 ◽

2003 ◽

Vol 10 (1) ◽

pp. 119-136 ◽

Cited By ~ 5

Author(s):

Changxing Miao ◽

Bo Zhang ◽

Xiaoyi Zhang

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Self Similar ◽

Similar Solutions

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Scattering Theory and Self-Similar Solutions for the Nonlinear Schrödinger Equation

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141099351309 ◽

2000 ◽

Vol 31 (3) ◽

pp. 625-650 ◽

Cited By ~ 11

Author(s):

Thierry Cazenave ◽

Fred B. Weissler

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Scattering Theory ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Similar ◽

Similar Solutions

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Self-similar solutions of equations of the nonlinear Schrödinger type

Self-similar solutions for a coupled system of nonlinear Schrodinger equations

New Self-Similar Solutions of the Nonlinear Schrödinger Equation with Moving Mesh Computations

Self-similar solutions to the derivative nonlinear Schrödinger equation

Comment on “Exact Self-Similar Solutions of the Generalized Nonlinear Schrödinger Equation with Distributed Coefficients”

Solitary and self-similar solutions of two-component system of nonlinear Schrödinger equations

Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation.

Exact Self-Similar Solutions of the Generalized Nonlinear Schrödinger Equation with Distributed Coefficients

Self-Similar Solutions for Nonlinear Schrödinger Equations

Scattering Theory and Self-Similar Solutions for the Nonlinear Schrödinger Equation

More self-similar solutions of the nonlinear Schrödinger equation

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