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含任意次非线性项变系数长短波相互作用方程组的精确解

Exact Solutions of the Generalized Long-short Wave Resonance Equations with Nonlinear Terms of Any Order
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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.
作者 王会娴 陈创锋 张金良
机构地区 河南科技大学物理与工程学院 河南科技大学数学与统计学院
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
分类号 O175.2 [理学—基础数学]
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参考文献9

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二级参考文献12

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新乡学院学报
2011年 第3期

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