Traveling Wave Solutions and Their Stability of Nonlinear Schrödinger Equation with Weak Dissipation
Year: 2016
Author: Yancong Xu, Tianzhu Lan, Yongli Liu
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 2 : pp. 183–199
Abstract
In this paper, several new constant-amplitude and variable-amplitude wave solutions (namely, traveling wave solutions) of a generalized nonlinear Schrödinger equation are investigated by using the extended homogeneous balance method, where the balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. In addition, stability analysis of those solutions are also conducted by regular phase plane technique.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-AAM-20637
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 2 : pp. 183–199
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: nonlinear Schrödinger equation extended homogeneous balance method amplitude wave solutions stability.