Solitary Wave Solutions of Some Nonlinear Physical Models Using Riccati Equation Approach  

作　　者：Zaid ODIBAT Ahmed ALSAEDI Tasawar HAYAT 

机构地区：[1]School of Basic Sciences and umanities,German Jordanian University,Amman 11180,Jordan [2]Nonlinear Analysis and Applied Mathematics(NAAM)Research Group,Department of Mathematics,Faculty of Science,King Abdulaziz University,Jeddah 21589,Saudi Arabia [3]Department of Mathematics,Quaid-I-Azam University,Islamabad 44000,Pakistan

出　　处：《Acta Mathematicae Applicatae Sinica》2020年第2期401-418,共18页应用数学学报（英文版）

摘　　要：Riccati equation approach is used to look for exact travelling wave solutions of some nonlinear physical models.Solitary wave solutions are established for the modified KdV equation,the Boussinesq equation and the Zakharov-Kuznetsov equation.New generalized solitary wave solutions with some free parameters are derived.The obtained solutions,which includes some previously known solitary wave solutions and some new ones,are expressed by a composition of Riccati differential equation solutions followed by a polynomial.The employed approach,which is straightforward and concise,is expected to be further employed in obtaining new solitary wave solutions for nonlinear physical problems.

关 键 词：solitary wave solution RICCATI EQUATION the modified KdV EQUATION the BOUSSINESQ EQUATION the Zakharov-Kuznetsov EQUATION 

分 类 号：O411[理学—理论物理]