| Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients | |
| Z. Y. Yan | |
| 2011 | |
| Source Publication | Applied Mathematics and Computation
 |
| ISSN | 0096-3003 |
| Volume | 217Issue:22Pages:9474-9479 |
| Abstract | 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. |
| description.department | [yan, zhenya] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china. [yan, zhenya] chinese acad sci, amss, inst syst sci, key lab math mechanizat, beijing 100080, peoples r china.;yan, zy (reprint author), chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china;zyyan@mmrc.iss.ac.cn |
| Keyword | Vc-k(m n) Equation Nnonlinear Dispersion Symbolic Analysis Compacton-like Solutions Solitary Pattern-like Solutions Conservation Laws Compacton Solutions Solitary Patterns Equations Solitons |
| URL | 查看原文 |
| WOS ID | WOS:000290902600059 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/30816 |
| Collection | 中国科学院金属研究所 |
| Recommended Citation GB/T 7714 | Z. Y. Yan. Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients[J]. Applied Mathematics and Computation,2011,217(22):9474-9479. |
| APA | Z. Y. Yan.(2011).Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients.Applied Mathematics and Computation,217(22),9474-9479. |
| MLA | Z. Y. Yan."Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients".Applied Mathematics and Computation 217.22(2011):9474-9479. |
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