Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients
文献类型：期刊论文
| 作者 | Yan, Zhenya1,2
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2011-07-15 |
| 卷号 | 217期号:22页码:9474-9479 |
| 关键词 | Vc-K(m, n) equation Nnonlinear dispersion Symbolic analysis Compacton-like solutions Solitary pattern-like solutions Conservation laws |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2011.04.047 |
| 英文摘要 | The variable-coefficient Korteweg-de Vries (KdV) equation with additional terms contributed from the inhomogeneity in the axial direction and the strong transverse confinement of the condense was presented to describe the dynamics of nonlinear excitations in trapped quasi-one-dimensional Bose-Einstein condensates with repulsive atom-atom interactions. To understand the role of nonlinear dispersion in this variable-coefficient model, we introduce and study a new variable-coefficient KdV with nonlinear dispersion (called vc-K(m, n) equation). With the aid of symbolic computation, we obtain its compacton-like solutions and solitary pattern-like solutions. Moreover, we also present some conservation laws for both vc-K+(n, n) equation and vc-K (n, n) equation. (C) 2011 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000290902600059 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13045]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Zhenya. Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients[J]. APPLIED MATHEMATICS AND COMPUTATION,2011,217(22):9474-9479. |
| APA | Yan, Zhenya.(2011).Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients.APPLIED MATHEMATICS AND COMPUTATION,217(22),9474-9479. |
| MLA | Yan, Zhenya."Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients".APPLIED MATHEMATICS AND COMPUTATION 217.22(2011):9474-9479. |
入库方式： OAI收割
来源：数学与系统科学研究院
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