| 用试探方程法求变系数非线性发展方程的精确解 |
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| 引用本文： | 刘成仕.用试探方程法求变系数非线性发展方程的精确解[J].物理学报,2005,54(10):4506-4510. |
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| 作者姓名： | 刘成仕 |
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| 作者单位： | 大庆石油学院数学系，大庆 163318 |
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| 摘 要： | 将试探方程法应用到变系数非线性发展方程的精确解的求解.以两类变系数KdV方程为例，在相当一般的参数条件下求得了丰富的精确解，其中包括新解.
关键词：
试探方程法
变系数KdV方程
类椭圆正弦(余弦)波解
类孤子解
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| 关 键 词： | 试探方程法 变系数KdV方程 类椭圆正弦(余弦)波解 类孤子解 |
| 文章编号： | 1000-3290/2005/54（10）/4506-05 |
| 收稿时间： | 11 26 2004 12:00AM |
| 修稿时间： | 2004-11-262005-02-28 |
Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficients |
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| Liu Cheng-Shi.Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficients[J].Acta Physica Sinica,2005,54(10):4506-4510. |
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| Authors: | Liu Cheng-Shi |
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| Institution: | Department of Mathematics, Daqing Petroleum Institute, Daqing 163318, China |
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| Abstract: | Trial equation method was applied to nonlinear evolution equations with variable coefficients. As examples, exact solutions for two kinds of KdV equations with variable coefficients were obtained. Some of these results were new. |
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| Keywords: | trial equation method variable coefficient KdV equation Jacobi elliptic-sine(cosine)-like function solution soliton-like solution |
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