Nonlinear dynamics and exact traveling wave solutions of the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms
type: Item
instance of: scholarly article
title: Nonlinear dynamics and exact traveling wave solutions of the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms
zbMATH Open document ID: 1400.35209
DOI: 10.1155/2016/7405141
author: Heng Wang
author: Longwei Chen
author: Hongjiang Liu
author: Shuhua Zheng
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: By using the method of dynamical system, the exact travelling wave solutions of the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms are studied. Based on this method, all phase portraits of the system in the parametric space are given with the aid of the Maple software. All possible bounded travelling wave solutions, such as solitary wave solutions, kink and anti-kink wave solutions, and periodic travelling wave solutions, are obtained, respectively. The results presented in this paper improve the related previous conclusions.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 6953533
Wikidata QID: Q59141172
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/7405141
OpenAlex ID: W2204398005
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description: scientific article; zbMATH DE number 6953533