Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation

M.A. Helal, A.R. Seadawy and M.H. Zekry

Applied Mathematics and Computation, 2014, vol. 232, issue C, 1094-1103

Abstract: In the present study, the nonlinear Boussinesq type equation describe the bi-directional propagation of small amplitude long capillary–gravity waves on the surface of shallow water. By using the extended auxiliary equation method, we obtained some new soliton like solutions for the two-dimensional fourth-order nonlinear Boussinesq equation with constant coefficient. These solutions include symmetrical, non-symmetrical kink solutions, solitary pattern solutions, Jacobi and Weierstrass elliptic function solutions and triangular function solutions. The stability analysis for these solutions are discussed.

Keywords: Nonlinear Boussinesq water wave equation; Extended auxiliary equation method; Soliton like solutions; Stability analysis solutions (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:1094-1103

DOI: 10.1016/j.amc.2014.01.066

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