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Journal of Applied Mathematics and Computing

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22.06.2020 | Original Research

Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system

verfasst von: Lina Chang, Hanze Liu, Xiangpeng Xin

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2020

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Abstract

By the combination of Lie symmetry analysis and dynamical system method, the (2+1)-dimensional dissipative long wave system is studied. First, we get Lie algebra and Lie symmetry group of the system. Then, by using the dynamical system method, the bifurcation and phase portraits of the corresponding traveling system of the system are obtained, it is shown that for different parametric space, the system has infinitely many solitary wave solutions, periodic wave solutions, kink or anti kink wave solutions. At last, the conservation laws of the system are given.

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Titel: Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system
verfasst von: Lina Chang
Hanze Liu
Xiangpeng Xin
Publikationsdatum: 22.06.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2020
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01381-0

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