Numerical solitons of generalized korteweg-de vries equations

作者：Han Houde; Xu Zhenli^*

来源：Applied Mathematics and Computation, 2007, 186(1): 483-489.

DOI：10.1016/j.amc.2006.07.111

• numerical solitons
• nonlinear dispersion
• generalized Korteweg-de Vries equation
• compactons

We propose a numerical method for finding solitary wave solutions of generalized Korteweg-de Vries equations by solving the nonlinear eigenvalue problem on an unbounded domain. The artificial boundary conditions are obtained to make the domain finite. We specially discuss the soliton solutions of the K(m,n) equation and KdV-K(m,n) equation. Furthermore for the mixed models of linear and nonlinear dispersion, the collision behaviors of soliton-soliton and soliton-antisoliton are observed.

• 出版日期2007-3-1
• 单位中国科学技术大学