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

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• 作者：M.A. Helal^a ; A.R. Seadawy^b ; ^c ; ^{Aly742001@yahoo.com" class="auth_mail} ; M.H. Zekry^c
• 关键词：Nonlinear Boussinesq water wave equation ; Extended auxiliary equation method ; Soliton like solutions ; Stability analysis solutions
• 刊名：Applied Mathematics and Computation
• 出版年：1 April, 2014
• 年：2014
• 卷：232
• 期：Complete
• 页码：1094-1103
• 全文大小：1409 K

文摘

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.