New Family of Exact Soliton Solutions for the Nonlinear Three-Wave Interaction Equations | Science Publications

Journal of Mathematics and Statistics

Sahar M. Alqaraleh¹  Adeeb G. Talafha¹ 

关键词: Soliton solutions;    tanh method;    three-wave interaction;    non zero phase mismatch;   

DOI  :  10.3844/jmssp.2011.45.50

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: To obtain new exact traveling wave soliton solutions for the threewaveinteraction equation in a dispersive medium and a non zero phase mismatch. Approach: Thetanh method is usually used to find a traveling wave analytic soliton solutions for one nonlinear waveand evolution partial differential equation. Here, we generalize this method to solve a system ofnonlinear evolution partial differential equations, then we use this generalization to find new family ofexact traveling wave soliton solutions for the nonlinear three-wave interaction equation. Results: Wewere able to generalize the tanh method and apply this generalization to the (TWI) system of (PDE

【 授权许可】

Unknown