| (3+1)维K-P方程的周期波解 |
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| 引用本文： | 傅海明,戴正德.(3+1)维K-P方程的周期波解[J].山西大学学报(自然科学版),2010,33(1). |
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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： | 用新的测试函数来替代Hirota法中的测试函数,寻求周期和孤立波结合的解.用这个新方法得到(3+1)雏K-P方程的精确周期孤立波解.这个结果说明(3+1)维K-P方程存在周期孤立波.
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| 关 键 词： | (3+1)维K-P方程 Hirota方法 周期波解 孤波解 |
New Periodic Soliton Wave Solutions for (3+1)-dimensional K-P Equation |
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| FU Hai-ming,DAI Zheng-de.New Periodic Soliton Wave Solutions for (3+1)-dimensional K-P Equation[J].Journal of Shanxi University (Natural Science Edition),2010,33(1). |
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| Authors: | FU Hai-ming DAI Zheng-de |
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| Institution: | FU Hai-ming,DAI Zheng-de(Department of Mathematics,Yunnan University,Kunming 650091,China) |
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| Abstract: | Using a new test function to replace the test function of Hirota method,the new test function is proposed to seek periodic soliton wave solutions of integrable systems.Exact periodic solitary-wave solutions for (3+1) dimensional K-P equation are obtained using this method.The result shows that the (3+1) dimensional K-P equation there exists the periodic soliton-wave. |
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| Keywords: | (3+ 1) dimensional K-P equation Hirota method periodic wave solution soliton wave solution |
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