| Jimbo-Miwa方程的周期孤波解 |
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| 引用本文： | 傅海明,戴正德.Jimbo-Miwa方程的周期孤波解[J].河南科技大学学报(自然科学版),2009,30(3). |
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| 作者姓名： | 傅海明 戴正德 |
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| 作者单位： | 云南大学,数学与统计学院,云南,昆明,650091 |
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| 基金项目： | 国家自然科学基金，云南省自然科学基金 |
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| 摘 要： | 扩展了Hirota法,并构造Jimbo-Miwa方程的新的周期孤波解,周期双孤波解,双周期双孤波解,即将Hirota法中的测试函数用新的测试函数来替代.显然扩展的Hirota方法也可以解其他类型的非线性发展方程.
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| 关 键 词： | Jimbo-Miwa方程 Hirota方法 周期孤波解 周期双孤波解 双周期双孤波解 |
Periodic-soliton Wave Solutions for Jimbo-Miwa Equation |
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| FU Hai-Ming,DAI Zheng-De.Periodic-soliton Wave Solutions for Jimbo-Miwa Equation[J].Journal of Henan University of Science & Technology:Natural Science,2009,30(3). |
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| Authors: | FU Hai-Ming DAI Zheng-De |
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| Institution: | College of Mathematics & Statistics;Yunnan University;Kunming 650091;China |
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| Abstract: | Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equations.To be more precise,new test function is used instead of text function in Hirota method.By using the extended Hirota method,Jimbo-Miwa equation is solved,and exact periodic-soliton wave solutions,periodic double soliton wave solutions,double periodic double soliton wave solutions are obtaincd.Obviously,the extended Hirota method can be applied to solve other type of nonlinear evolution equations as ... |
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| Keywords: | Jimbo-Miwa equation Hirota method Periodic-soliton wave solutions Periodic double soliton wave solutions Double periodic double soliton wave solutions |
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