| Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients |
| Z. Y. Yan
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| 2011
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| 发表期刊 | Applied Mathematics and Computation
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| ISSN | 0096-3003
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| 卷号 | 217期号:22页码:9474-9479 |
| 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. |
| 部门归属 | [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
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| 关键词 | Vc-k(m
n) Equation
Nnonlinear Dispersion
Symbolic Analysis
Compacton-like Solutions
Solitary Pattern-like Solutions
Conservation
Laws
Compacton Solutions
Solitary Patterns
Equations
Solitons
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| URL | 查看原文
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| WOS记录号 | WOS:000290902600059
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://ir.imr.ac.cn/handle/321006/30816
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| 专题 | 中国科学院金属研究所
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推荐引用方式
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.
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| 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.
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| 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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