EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION | Zendy

YU Wei-qin | Zendy; Na Li | Zendy; Fangqi Chen | Zendy; Shouwei Zhao | Zendy

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EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION

Author(s) -

YU Wei-qin,

Na Li,

Fangqi Chen,

Shouwei Zhao

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016063

Subject(s) - traveling wave , periodic wave , mathematical analysis , mathematics , bounded function , sinusoidal plane wave solutions of the electromagnetic wave equation , physics , classical mechanics , quantum mechanics , electromagnetic wave equation , magnetic field , optical field

Utilizing the methods of dynamical system theory, the DullinGottwald-Holm equation is studied in this paper. The dynamical behaviors of the traveling wave solutions and their bifurcations are presented in different parameter regions. Furthermore, the exact explicit forms of all possible bounded solutions, such as solitary wave solutions, periodic wave solutions and breaking loop wave solutions are obtained.

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