Stability analysis solutions of the nonlinear modified Degasperis-Procesi water wave equation  

作　　者：M.A.Helal Aly R.Seadawy M.Zekry 

机构地区：[1]Mathematics Department,Faculty of Science,Cairo University,Giza,Egypt [2]Mathematics Department,Faculty of Science,Taibah University,Al-Ula,Saudi Arabia [3]Mathematics Department,Faculty of Science,Beni-Suef University,Egypt

出　　处：《Journal of Ocean Engineering and Science》2017年第3期155-160,共6页海洋工程与科学（英文）

摘　　要：In the present study,the solitary wave solutions of modified Degasperis-Procesi equation are developed.Unlike the standard Degasperis-Procesi equation,where multi-peakon solutions arise,the modification caused a change in the characteristic of these peakon solutions and changed it to bell-shaped solitons.By using the extended auxiliary equation method,we deduced some new soliton solutions of the fourthorder nonlinear modified Degasperis-Procesi equation with constant coefficient.These solutions include symmetrical,non-symmetrical kink solutions,solitary pattern solutions,weiestrass elliptic function solutions and triangular function solutions.We discuss the stability analysis for these solutions.

关 键 词：Modified Degasperis-Procesi water wave equation Extended auxiliary equation method Solitary wave solutions 

分 类 号：O17[理学—数学]