Asymptotics of Multibump Blow-up Self-Similar Solutions of the Nonlinear Schrödinger Equation

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrödinger ◽

Self Similar ◽

On uniqueness and continuation properties after blow-up time of self-similar solutions of nonlinear schrödinger equation with critical exponent and critical mass

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160450204 ◽

1992 ◽

Vol 45 (2) ◽

pp. 203-254 ◽

Cited By ~ 51

Author(s):

Frank Merle

Keyword(s):

Schrödinger Equation ◽

Critical Exponent ◽

Schrodinger Equation ◽

Blow Up ◽

Critical Mass ◽

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 ◽

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 ◽

Scattering Theory ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Similar ◽

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 ◽