| 时变系数下耦合KdV和Burgers方程组的孤波解* |
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| 引用本文： | 高翔,化存才. 时变系数下耦合KdV和Burgers方程组的孤波解*[J]. 动力学与控制学报, 2014, 12(4): 295-303 |
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| 作者姓名： | 高翔 化存才 |
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| 作者单位： | 云南师范大学数学学院,昆明,650092 |
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| 基金项目： | 国家自然科学基金项目(10772158，11162020)，云南省中青年学术与技术带头人计划项目(2008PY059) |
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| 摘 要： | 在双曲函数展开法和Jacobi椭圆函数展开法的基础上，应用它们的扩展形式来讨论三类时变系数下耦合KdV和Burgers方程组，获得了在不同情形下的一些孤波解，其中包括类孤立子解，类冲击波解和类三角函数周期型解．
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| 关 键 词： | 双曲正切函数展开法 Jacobi椭圆函数展开法 时变系数下耦合KdV—Burgers方程组 孤波 解 |
Solitary wave solutions for coupled kdv-burgers equations with variable coefficients |
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| Gao Xiang and Hua Cuncai. Solitary wave solutions for coupled kdv-burgers equations with variable coefficients[J]. Journal of Dynamics and Control, 2014, 12(4): 295-303 |
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| Authors: | Gao Xiang and Hua Cuncai |
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| Affiliation: | (School of Mathematics , Yunnan Normal University , Kunming 650500, China) |
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| Abstract: | Based on the hyperbolic function expansion method and Jacobi elliptic function expansion method, their extended forms were applied to discuss three kinds of coupled KdV-Burgers equations with variable coefficients, and some solitary wave solutions in different situations were derived, including soliton-like solutions ,shock-wave-like solutions and trigonometric-function-like periodic solutions. |
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| Keywords: | hyperbolic function expansion method Jacobi elliptic function expansion method coupled KdV-B-urgers equations with variable coefficients solitary wave solutions |
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