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Bifurcations and Exact Traveling Wave Solutions of a Modified Nonlinear Schrödinger Equation
Kou K.1; Li J.3
2016-06-15
Source PublicationInternational Journal of Bifurcation and Chaos
ISSN02181274
Volume26Issue:6
Abstract

In this paper, we consider two singular nonlinear planar dynamical systems created from the studies of one-dimensional bright and dark spatial solitons for one-dimensional beams in a nonlocal Kerr-like media. On the basis of the investigation of the dynamical behavior and bifurcations of solutions of the planar dynamical systems, we obtain all possible explicit exact parametric representations of solutions (including solitary wave solutions, periodic wave solutions, peakon and periodic peakons, compacton solutions, etc.) under different parameter conditions.

KeywordBifurcation Compacton Modified Nonlinear Schrödinger Equation Peakon Periodic Peakon Periodic Wave Solitary Wave
DOIhttp://doi.org/10.1142/S0218127416501066
URLView the original
Indexed BySCI
Language德语
WOS Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000379354500017
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorLi J.
Affiliation1.Universidade de Macau
2.Kunming University of Science and Technology
3.Zhejiang Normal University
Recommended Citation
GB/T 7714
Kou K.,Li J.. Bifurcations and Exact Traveling Wave Solutions of a Modified Nonlinear Schrödinger Equation[J]. International Journal of Bifurcation and Chaos,2016,26(6).
APA Kou K.,&Li J..(2016).Bifurcations and Exact Traveling Wave Solutions of a Modified Nonlinear Schrödinger Equation.International Journal of Bifurcation and Chaos,26(6).
MLA Kou K.,et al."Bifurcations and Exact Traveling Wave Solutions of a Modified Nonlinear Schrödinger Equation".International Journal of Bifurcation and Chaos 26.6(2016).
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