广义哈密顿振幅方程的精确解 |
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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. |
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作者姓名: | 陈创锋 张金良 |
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作者单位: | 河南科技大学,理学院,河南,洛阳,471003 |
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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 |
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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。
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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 |
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Authors: | CHEN Chuang-feng ZHANG Jin-Liang |
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Institution: | (School of Science, Henan University of Science and Technology, Luoyang 471003, China) |
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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. |
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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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