Traveling wave solutions of compressible fluid equations and orbital stability | Zendy

Xiang Li | Zendy; Weiguo Zhang | Zendy; Zhengming Li | Zendy

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Traveling wave solutions of compressible fluid equations and orbital stability

Author(s) -

Xiang Li,

Weiguo Zhang,

Zhengming Li

Publication year - 2015

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4936638

Subject(s) - compressibility , bounded function , stability (learning theory) , planar , zero (linguistics) , physics , mathematical analysis , compressible flow , traveling wave , classical mechanics , mathematics , mechanics , computer science , computer graphics (images) , linguistics , philosophy , machine learning

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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