Solitary Wave Solutions to the ZKBBM Equation and the KPBBM Equation via the Modified Simple Equation Method

作     者：AKTER J. AKBAR M. Ali AKTER J.;AKBAR M. Ali

作者机构：Department of Natural Science Varendra University Bangladesh. Department of Applied Mathematics University of Rajshahi Bangladesh. 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2016年第29卷第2期

页      面：143-160页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Modified simple equation method nonlinear evolution equations homogeneous balance soliton solutions Zakharov-Kuznetsov Benjamin-Bona-Mahony equation Kadomtsov- Petviashvilli Benjamin-Bona-Mahony equation. 

摘      要：In this article, the modified simple equation method （MSE） is used to acquire exact solutions to nonlinear evolution equations （NLEEs） namely the Zakharov- Kuznetsov Benjamin-Bona-Mahony equation and the Kadomtsov-Petviashvilli Benjamin-Bona-Mahony equation which have widespread usage in modern science. The MSE method is ascending and useful mathematical tool for constructing exact travel- ing wave solutions to NLEEs in the field of science and engineering. By means of this method we attained some significant solutions with free parameters and for special values of these parameters, we found some soliton solutions derived from the exact solutions. The solutions obtained in this article have been shown graphically and also discussed physically.