Computing multi-soliton solutions to Caudrey-Dodd-Gibbon equation by Hirotas method

International Journal of Physical Sciences

Alvaro H. Salas¹ 

关键词: Caudrey-Dodd-Gibbon equation;    Sawada-Kotera equation;    nonlinear partial differential equation;    fifth order Korteweg-de Vries equation;    nonlinear evolution equation;    one soliton solution;    two soliton solution;    travelling wave solution;    Mathematica 8;    Maple 15.;   

DOI  :  10.5897/IJPS11.733

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, we make use of Hirota’s bilinear method to obtain multi-soliton solutions to Caudrey-Dodd-Gibbon equation by using Hirota’s bilinear method. This equation is the first transformed to its potential version and then the Cole-Hopf transformation is applied to it to obtain an equation that is transformed to a bilinear form. One and two soliton solutions are formally derived. Other solutions are obtained via limiting process. These solutions are illustrated graphically. A comparison with other methods to solve the mentioned equation is given in later in this paper.

【 授权许可】

CC BY