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AIP Advances | Vol.5, Issue.11 | 2017-05-29 | Pages

Traveling wave solutions of compressible fluid equations and orbital stability

Xiang Li,Weiguo Zhang,Zhengming Li

Abstract

In this paper, we discuss the existence of traveling wave solutions for compressible fluid equations by applying the theory and method of planar dynamical system, and obtain explicit expressions for all bounded traveling wave solutions by undetermined coefficient method, including kink and bell profile traveling wave solutions, as well as periodic wave solutions. We prove the kink profile solitary wave solution, both sides of which asymptotic values are not zero, is orbitally stable by the theory of Grillakis-Shatah-Strauss orbital stability.

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Traveling wave solutions of compressible fluid equations and orbital stability

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Keywords

of planar dynamical system compressible fluid equations undetermined coefficient method of grillakisshatahstrauss orbital stability kink and bell profile traveling wave solutions

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Xiang Li,Weiguo Zhang,Zhengming Li,.Traveling wave solutions of compressible fluid equations and orbital stability. 5 (11),.

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