Toward a classification of quasirational solutions of the nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Toward a classification of quasirational solutions of the nonlinear Schrödinger equation
zbMATH Open document ID: 1355.76016
DOI: 10.1134/S0040577916100044
author: Yong-Cai Geng
author: Sumit K. Garg
published in: Theoretical and Mathematical Physics
publication date: 2017-02-08T00:00:00Z
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 6682032
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: determinant
zbMATH Keywords: Peregrine breather
zbMATH Keywords: rogue wave
MaRDI profile type: Publication
cites work: Water waves, nonlinear Schrödinger equations and their solutions
cites work: Exact first-order solutions of the nonlinear Schrödinger equation
cites work: Rogue waves, rational solutions, the patterns of their zeros and integral relations
cites work: Families of quasi-rational solutions of the NLS equation and multi-rogue waves
cites work: General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
cites work: Degenerate determinant representation of solutions of the nonlinear Schrödinger equation, higher order Peregrine breathers and multi-rogue waves
cites work: Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability
cites work: Lie symmetries of a generalised nonlinear Schrodinger equation: I. The symmetry group and its subgroups
cites work: Lie symmetries of a generalised non-linear Schrodinger equation. II. Exact solutions
cites work: Lie symmetries of a generalised non-linear Schrodinger equation. III. Reductions to third-order ordinary differential equations
cites work: Other 2N− 2 parameters solutions of the NLS equation and 2N+ 1 highest amplitude of the modulus of theNth order AP breather
cites work: Six-parameters deformations of fourth order Peregrine breather solutions of the nonlinear Schrödinger equation
cites work: The Fifth Order Peregrine Breather and Its Eight-Parameter Deformations Solutions of the NLS Equation
cites work: Two parameters Wronskian representation of solutions of nonlinear Schrödinger equation, eighth Peregrine breather and multi-rogue waves
cites work: The Peregrine breather of order nine and its deformations with sixteen parameters solutions to the NLS equation
cites work: TRIP
description: scientific article; zbMATH DE number 6682032