| 广义组合KdV-mKdV方程的显式精确解 |
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| 引用本文： | 闫振亚,张鸿庆. 广义组合KdV-mKdV方程的显式精确解[J]. 高校应用数学学报(英文版), 2001, 16(2): 156-160. DOI: 10.1007/s11766-001-0022-2 |
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| 作者姓名： | 闫振亚 张鸿庆 |
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| 作者单位： | Yan Zhenya Zhang HongqingDept.ofAppl.Math.，DalianUniv.ofTechnology，Dalian116024 |
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| 基金项目： | Supported by the National Key Basic Research Project Foundation of China(G1 9980 30 60 0 ) and theHigher Education Doctoral Fo |
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| 摘 要： | Abstract. With the aid of Mathematica and Wu-elimination method,via using a new generalizedansatz and well-known Riccati equation,thirty-two families of explicit and exact solutions forthe generalized combined KdV and mKdV equation are obtained,which contain new solitarywave solutions and periodic wave solutions. This approach can also be applied to other nonlinearevolution equations.
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| 关 键 词： | 广义组合 KdV—MKdV方程 精确解 孤子解 吴式消除法 偏微分方程 |
| 收稿时间： | 2000-04-05 |
Explicit exact solutions for the generalized combined KdV and MKdV equation |
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| Yan Zhenya,Zhang Hongqing. Explicit exact solutions for the generalized combined KdV and MKdV equation[J]. Applied Mathematics A Journal of Chinese Universities, 2001, 16(2): 156-160. DOI: 10.1007/s11766-001-0022-2 |
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| Authors: | Yan Zhenya Zhang Hongqing |
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| Affiliation: | (1) Dept. of Appl. Math., Dalian Univ. of Technology, 116024 Dalian |
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| Abstract: | With the aid of Mathematica and Wu elimination method,via using a new generalized ansatz and well known Riccati equation,thirty two families of explicit and exact solutions for the generalized combined KdV and mKdV equation are obtained,which contain new solitary wave solutions and periodic wave solutions.This approach can also be applied to other nonlinear evolution equations. |
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| Keywords: | combined KdV and mKdV equation solitary wave solution periodic wave solution. |
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