Year: 2016
Author: Wei Wang, Chunhai Li, Wenjing Zhu
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 1084–1098
Abstract
Dynamical system theory is applied to the integrable nonlinear wave equation $u_t±(u^3−u^2)x+(u^3)xxx=0$. We obtain the single peak solitary wave solutions and compacton solutions of the equation. Regular compacton solution of the equation corresponds to the case of wave speed $c$=0. In the case of $c^6$≠0, we find smooth soliton solutions. The influence of parameters of the traveling wave solutions is explored by using the phase portrait analytical technique. Asymptotic analysis and numerical simulations are provided for these soliton solutions of the nonlinear wave equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2015.m1248
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 1084–1098
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Bifurcation solitary wave compaction.
Author Details
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