The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions
文献类型：期刊论文
| 作者 | Z. Y. Yan |
| 刊名 | Applied Mathematics and Computation
 |
| 出版日期 | 2008 |
| 卷号 | 203期号:1页码:106-112 |
| 关键词 | modified Korteweg-de Vries ( mKdV) equation with variable coefficients exact solutions de-vries equation elliptic function solutions nonlinear schrodinger-equation differential-equations soliton |
| ISSN号 | 0096-3003 |
| 中文摘要 | In this paper, the modified Korteweg-de Vries (mKdV) equation with variable coefficients (vc-mKdV equation) is investigated via two kinds of approaches and symbolic computation. On the one hand, we firstly reduce the vc-mKdV equation to a second-order nonlinear nonhomogeneous ODE using travelling wave-like similarity transformation. And then we obtain its many types of exact fractional solutions with one travelling wave-like variable by applying some fractional transformations to the obtained nonlinear ODE. On the other hand, we reduce the vc-mKdV equation to two nonlinear PDEs with variable coefficients using the anti-tangent and anti-hypertangent function transformations, respectively. And then we given its many types of exact solutions with two different travelling wave-like variables by studying the obtained nonlinear PDE with variable coefficients. (c) 2008 Elsevier Inc. All rights reserved. |
| 原文出处 | |
| 公开日期 | 2012-04-13 |
| 源URL | [http://210.72.142.130/handle/321006/33265]  |
| 专题 | 金属研究所_中国科学院金属研究所 |
| 推荐引用方式 GB/T 7714 | Z. Y. Yan. The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions[J]. Applied Mathematics and Computation,2008,203(1):106-112. |
| APA | Z. Y. Yan.(2008).The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions.Applied Mathematics and Computation,203(1),106-112. |
| MLA | Z. Y. Yan."The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions".Applied Mathematics and Computation 203.1(2008):106-112. |
入库方式： OAI收割
来源：金属研究所
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