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

Scattering Theory ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Similar ◽

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 ◽

Schrodinger Equation ◽

Moving Mesh ◽

Nonlinear Schrödinger ◽

Self Similar ◽

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 ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Self Similar ◽

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 ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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 ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Conformally Invariant ◽

Self Similar ◽

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 ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Envelope self-similar solutions for the nonautonomous and inhomogeneous nonlinear Schrödinger equation

Optics Communications ◽

10.1016/j.optcom.2010.05.027 ◽

2010 ◽

Vol 283 (19) ◽

pp. 3784-3791 ◽

Cited By ~ 17

Author(s):

Chaoqing Dai ◽

Shiqun Zhu ◽

Jiefang Zhang

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Similar ◽

Chirped self-similar solutions of a generalized nonlinear Schrödinger equation model

Physical Review E ◽

10.1103/physreve.71.016606 ◽

2005 ◽

Vol 71 (1) ◽

Cited By ~ 56

Author(s):

Shihua Chen ◽

Lin Yi

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Equation Model ◽

Nonlinear Schrödinger ◽

Self-Similar Solutions of Variable-Coefficient Cubic-Quintic Nonlinear Schrödinger Equation with an External Potential

Communications in Theoretical Physics ◽

10.1088/0253-6102/54/1/11 ◽

2010 ◽

Vol 54 (1) ◽

pp. 55-59 ◽

Cited By ~ 11

Author(s):

Wu Hong-Yu ◽

Fei Jin-Xi ◽

Zheng Chun-Long

Keyword(s):

Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

External Potential ◽

Nonlinear Schrödinger ◽

Self Similar ◽

Ultrashort self-similar solutions of the cubic-quintic nonlinear Schrödinger equation with distributed coefficients in the inhomogeneous fiber

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/44/15/155203 ◽

2011 ◽

Vol 44 (15) ◽

pp. 155203 ◽

Cited By ~ 46

Author(s):

Chao-Qing Dai ◽

Yue-Yue Wang ◽

Xiao-Gang Wang

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽