重庆理工大学学报（自然科学版）2013，Vol.27Issue(7)：119-124,6.DOI:10.3969/j.issn.1674-8425(z).2013.07.024
一类变系数自耦合KdV方程组的解析解
Analytic Solutions for a New Kind of Auto-Coupled KdV Equation with Variable Coefficients
摘要
Abstract
In this paper,we apply the extended Jacobi elliptic function expansion method to discuss a new kind of auto-coupled KdV equation with variable coefficients.By solving nonlinear differential algebraic equations which are derived from solving nonlinear evolution equation,some solitary wave solutions in different situations for the auto-coupled KdV equation with variable coefficients are derived.In the limit cases,solitude-like solutions,shock-wave-like solutions and trigonometric-function-like periodic solutions are derived.关键词
扩展的Jacobi椭圆函数展开法/耦合KdV方程组/孤立波解Key words
the extended Jacobi elliptic function expansion method/auto-coupled KdV equation with variable coefficients/solitary wave solutions分类
数学引用本文复制引用
胡东坡,化存才..一类变系数自耦合KdV方程组的解析解[J].重庆理工大学学报（自然科学版）,2013,27(7):119-124,6.基金项目
国家自然科学基金资助项目(10772158,11162020) （10772158,11162020）
云南省中青年学术与技术带头人计划项目(2008PY059) （2008PY059）
