| Kadomtesv-Petviashvili方程的新解 |
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| 引用本文： | 傅海明,戴正德. Kadomtesv-Petviashvili方程的新解[J]. 四川师范大学学报(自然科学版), 2011, 34(1): 77-79. DOI: 10.3969/j.issn.1001-8395.2011.01.016 |
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| 作者姓名： | 傅海明 戴正德 |
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| 作者单位： | 1. 凯里学院,理学院,贵州,凯里,556011
2. 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(10361007和10661002)资助项目; 凯里学院重点学科基金(KZD2009001)对本文给予了资助 |
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| 摘 要： | 利用符号计算法和F-展开法,得到Kadomtesv-Petviashvili的新的孤波解和周期波解,包括双曲函数解和三角函数解.而这些解可以广泛的应用到诸如物理等其它科研领域.
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| 关 键 词： | Kadomtesv-Petviashvili方程 F-展开法 周期波解 孤波解 |
New Exact Solutions for Kadomtesv-Petviashvili Equation |
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| FU Hai-ming,DAI Zheng-de. New Exact Solutions for Kadomtesv-Petviashvili Equation[J]. Journal of Sichuan Normal University(Natural Science), 2011, 34(1): 77-79. DOI: 10.3969/j.issn.1001-8395.2011.01.016 |
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| Authors: | FU Hai-ming DAI Zheng-de |
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| Affiliation: | FU Hai-ming1,DAI Zheng-de2(1.College of Science,Kaili College,Kaili 556011,Guizhou,2.Department of Mathematics and Statistics,Yunnan University,Kunming 650091,Yunnan) |
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| Abstract: | Based on the symbolic computation system Mathematica and F-expansion method,we study the Kadomtesv-Petviashvili equation and obtain new families of exact solitary wave and periodic wave solutions,which include hyperbolic function and triangular periodic solutions.These solutions can be applied to other nonlinear evolution equations in mathematical physics. |
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| Keywords: | Kadomtesv-Petviashvili equation F-expansion method periodic wave solutions solitary wave solutions |
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