Stair and Step Soliton Solutions of the Integrable (2+1) and (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equations  

作　　者：M.T. Darvishi M. Najafi L. Kavitha M. Venkatesh 

机构地区：[1]Department of Mathematics, Razi University [2]Department of Physiology, Faculty of Medicine, Kermanshah University of Medical Sciences [3]Department of Physics, Periyar University [4]Center for Nanoscience and Nanotechnology, Periyar University

出　　处：《Communications in Theoretical Physics》2012年第12期785-794,共10页理论物理通讯（英文版）

基　　金：the financial support from NBHM, India in the form of major research project, BRNS, India in the form of Young Scientist Research Award

摘　　要：The multiple exp-function method is a new approach to obtain multiple wave solutions of nonlinear partial differential equations (NLPDEs). By this method one can obtain multi-soliton solutions of NLPDEs. In this paper, using computer algebra systems, we apply the multiple exp-function method to construct the exact multiple wave solutions of a (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Also, we extend the equation to a (3+1)-dimensional case and obtain some exact solutions for the new equation by applying the multiple exp-function method. By these applications, we obtain single-wave, double-wave and multi-wave solutions for these equations.

关 键 词：multiple exp-function method Boiti-Leon-Manna-Pempinelli equation exact solution multi-soliton solution 

分 类 号：O241.82[理学—计算数学]