| 非线性系统的精确解 |
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| 引用本文： | 赵雪芹,智红燕,张鸿庆. 非线性系统的精确解[J]. 数学研究及应用, 2008, 28(1): 111-118. DOI: 10.3770/j.issn:1000-341X.2008.01.015 |
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| 作者姓名： | 赵雪芹 智红燕 张鸿庆 |
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| 作者单位： | [1]Department of Applied Mathematics, Dalian University of Technology, Liaoning 116024, China; [2]Department of Mathematics, Qufu Normal University, Shandong 273165, China |
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| 摘 要： | Based on the computerized symbolic, a new generalized tanh functions method is used for constructing exact travelling wave solutions of nonlinear partial differential equations （PDES） in a unified way. The main idea of our method is to take full advantage of an auxiliary ordinary differential equation which has more new solutions. At the same time, we present a more general transformation, which is a generalized method for finding more types of travelling wave solutions of nonlinear evolution equations （NLEEs）. More new exact travelling wave solutions to two nonlinear systems are explicitly obtained.
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| 关 键 词： | generalized tanh functions method solitary wave solution (2 1)-dimensional dispersive long-wave system (DLWs) reaction-diffusion equations 非线性系统 精确解 Nonlinear Systems Exact Solutions nonlinear systems nonlinear evolution equations present generalized transformation time idea take full advantage auxiliary ordinary differential equation solutions unified PDES functions |
| 收稿时间： | 2005-06-13 |
| 修稿时间： | 2005-11-27 |
Constructing Exact Solutions for Two Nonlinear Systems |
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| ZHAO Xue-qin,ZHI Hong-yan and ZHANG Hong-qing. Constructing Exact Solutions for Two Nonlinear Systems[J]. Journal of Mathematical Research with Applications, 2008, 28(1): 111-118. DOI: 10.3770/j.issn:1000-341X.2008.01.015 |
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| Authors: | ZHAO Xue-qin ZHI Hong-yan ZHANG Hong-qing |
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| Affiliation: | 1. Department of Applied Mathematics,Dalian University of Technology,Liaoning 116024,China;Department of Mathematics,Qufu Normal University,Shandong 273165,China
2. Department of Applied Mathematics,Dalian University of Technology,Liaoning 116024,China |
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| Abstract: | Based on the computerized symbolic,a new generalized tanh functions method is used for constructing exact travelling wave solutions of nonlinear partial differential equations (PDES) in a unified way.The main idea of our method is to take full advantage of an auxiliary ordinary differential equation which has more new solutions.At the same time,we present a more general transformation,which is a generalized method for finding more types of travelling wave solutions of nonlinear evolution equations (NLEEs).More new exact travelling wave solutions to two nonlinear systems are explicitly obtained. |
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| Keywords: | generalized tanh functions method solitary wave solution $(2+1)$-dimensional dispersive long-wave system (DLWs) reaction-diffusion equations. |
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