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 | Yan, Zhenya1,2
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2008-09-01 |
| 卷号 | 203期号:1页码:106-112 |
| 关键词 | modified Korteweg-de Vries ( mKdV) equation with variable coefficients exact solutions |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2008.04.006 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000258832700014 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5755]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Zhenya. 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 | Yan, Zhenya.(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 | Yan, Zhenya."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：数学与系统科学研究院
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