| 一类非线性发展方程的新精确解 |
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| 引用本文： | 边春泉,庞晶.一类非线性发展方程的新精确解[J].内蒙古工业大学学报,2009,28(4):246-251. |
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| 作者姓名： | 边春泉 庞晶 |
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| 作者单位： | 内蒙古工业大学理学院,呼和浩特010051 |
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| 基金项目： | 基金项目：内蒙古高等学校科学研究基金项目（批准号：NJZY07066） |
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| 摘 要： | 本文通过行波变换将改进的（2＋1）维ZK方程和（2＋1）维破裂孤子方程约化为标准椭圆方程，再由标准方程的行波解结构和参数假设法并借助计算机代数系统Mathematica求出原方程的解，从而得到了方程的多组精确孤立波解．与其他方法相比，这种方法简单有效，也可用于寻找其他非线性发展方程的精确孤立波解．
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| 关 键 词： | 改进的(2+1)维ZK方程 (2+1)维破裂孤子方程 新精确解 参数假设法 标准椭圆方程 |
NEW EXACT SOLUTION TO A CLASS OF NONLINEAR EVOLUTION EQUATIONS |
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| BIAN Chun-quan,PANG Jing.NEW EXACT SOLUTION TO A CLASS OF NONLINEAR EVOLUTION EQUATIONS[J].Journal of Inner Mongolia Polytechnic University(Social Sciences Edition),2009,28(4):246-251. |
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| Authors: | BIAN Chun-quan PANG Jing |
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| Institution: | (College of Science,Inner Mongolia University of Technology, Hohhot 010051, China ) |
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| Abstract: | In this paper, the extended （2 ＋ 1 ）-dimensional ZK and （2 ＋ 1）-dimensional breakingsoliton equations are converted into as-standard elliptic equations through wave transformations. Exact solutions of the equations are inversed by means of the structure of standard elliptic equation＇s wave solutions and the parameter hypothesis method and with the aid of computer algebra system ＂Mathematica＂. More new exact solutions of the equations are then obtained. This method is effective and highly accurate compared with other methods. It can also he used to find new exact solutions for other nonlinear evolution equations. |
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| Keywords: | extended （2 ＋ 1 ）-dimensional ZK equation （2 ＋ 1 ）-dimensional breaking solitonequation ~new exact solutions parameter hypothesis method standard elliptic equation |
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