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广义哈密顿振幅方程的精确解
引用本文:陈创锋,张金良.广义哈密顿振幅方程的精确解[J].新乡学院学报(自然科学版),2009,26(5):1-2.
作者姓名:陈创锋  张金良
作者单位:河南科技大学,理学院,河南,洛阳,471003 
基金项目:河南省基础与前沿技术研究项目,河南科技大学博士启动基金 
摘    要:借助于齐次平衡原则和一高次辅助方程,研究了广义哈密顿振幅方程,求出了该方程的双曲函数、三角函数及代数形式的精确解。

关 键 词:齐次平衡原则  高次辅助方程  广义哈密顿振幅方程  精确解

Exact Solutions to the Generalized Hamiltonian Amplitude Equation with A High-order Nonlinear Term
Authors:CHEN Chuang-feng  ZHANG Jin-Liang
Institution:(School of Science, Henan University of Science and Technology, Luoyang 471003, China)
Abstract:With the aid of homogeneous balance principal and a high-order subsidiary ordinary differential equation (sub-ODE), the exact solutions (including the hyperbolic type solitary wave, the sinusoidal traveling wave and the algebraic solitary wave) of the generalized Hamilton Amplitude equation with a high-order nonlinear term are derived.
Keywords:homogeneous balance principal  high-order subsidiary ordinary differential equation (sub-ODE)  generalized Hamilton Amplitude equation with a high-order nonlinear terms exact solution
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