摘要
利用二次线性微分方程的解,构造了一个高次辅助方程的精确解,借助于该高次辅助方程,研究了含任意次非线性项变系数长短波相互作用方程组,求出了其双曲函数、三角函数及有理函数精确解。
The exact solutions of equation with any order are derived by using the solutions of the linear differential equation of secondary order.With the aid of a high-order subsidiary ordinary differential equation,the exact solutions(including the kink type solitary wave,the bell type solitary wave,the algebraic solitary wave and the sinusoidal traveling wave) of the generalized long-short wave resonance equations with nonlinear terms of any order are derived.
出处
《新乡学院学报》
2011年第3期193-195,共3页
Journal of Xinxiang University
基金
河南省教育厅自然科学基金项目(2007110010)
河南科技大学博士启动基金资助项目(09001204
09001262)
关键词
高次辅助方程
长短波相互作用方程组
精确解
high-order subsidiary ordinary differential equation
generalized long-short wave resonance equations
exact solution