| Solitary Waves of a Perturbed sine—Gordon Equation |
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| 引用本文： | HUACun－Cai LIUYan－Zhu. Solitary Waves of a Perturbed sine—Gordon Equation[J]. 理论物理通讯, 2002, 37(1): 21-26 |
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| 作者姓名： | HUACun－Cai LIUYan－Zhu |
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| 作者单位： | DepartmentofEngineeringMechanics,ShanghaiJiaoTongUniversity,Shanghai200030,China |
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| 基金项目： | 中国博士后科学基金,上海市科技发展基金 |
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| 摘 要： | Based on the bifurcation and the idea that the solitary waves and shock waves of partial differential equations correspond respectively to the homoclinic and heteroclinic trajectories of nonlinear ordinary differential equations satisfied by the travelling waves,different conditions for the existence of solitary waves of a perturbed sine-Gordon equation are obtained.All of the corresponding approximate solitary wave solutions are given by integrating the derived approximate equations directly.
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| 关 键 词： | 非线性波方程 受微扰Sine－Gordon方程 孤子波 |
Solitary Waves of a Perturbed sine-Gordon Equation |
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| HUA Cuncai,LIU YanZhu. Solitary Waves of a Perturbed sine-Gordon Equation[J]. Communications in Theoretical Physics, 2002, 37(1): 21-26 |
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| Authors: | HUA Cuncai LIU YanZhu |
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| Abstract: | Based on the bifurcation and the idea that the solitary waves and shock waves of partial differential equations correspond respectively to the homoclinic and heteroclinic trajectories of nonlinear ordinary differential equations satisfied by the travelling waves, different conditions for the existence of solitary waves of a perturbed sine-Gordon equation are obtained. All of the corresponding approximate solitary wave solutions are given by integrating the derived approximate equations directly. |
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| Keywords: | solitary waves bifurcation sine-Gordon equation |
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