摘要
给出一种求解非线性发展方程精确行波解的新方法:双函数法.使用此方法,借助计算机代数系统Mathematica,利用双函数法和吴文俊消元法,获得kdv方程的多组新的显式行波解,包括孤波解和周期解.
In this paper, multiple traveling wave solutions to kdv equation, including solition solutions and periodic solutions, were obtained by using hyperbola function method and Wu-elimination method. The method used in this work also can be applied to other nonlinear equations.
出处
《海南师范大学学报(自然科学版)》
CAS
2010年第2期142-146,共5页
Journal of Hainan Normal University(Natural Science)
基金
南通大学自然科学基金项目(06Z004)
关键词
双函数法
吴文俊消元法
KDV方程
行波解
hyperbola function method
Wu-elimination method
kdv equation
traveling wave solution