Painleve Integrability and a New Exact Solution of the Multi-Component Sasa-Satsuma Equation

被引：2
|
作者：
Ye, Yujian [2 ]
Zhang, Danda [3 ]
Di, Yanmei [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
[2] Hangzhou Dianzi Univ, Sch Management, Hangzhou 310018, Peoples R China
[3] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2015年 / 70卷 / 10期
关键词：
Coherent Structure; Exact Solution; Painleve Integrability; Sasa-Satsuma Equation; VARIABLE SEPARATION APPROACH; NONLINEAR EVOLUTION-EQUATIONS; SOLITONS; SYSTEM;
D O I：
10.1515/zna-2015-0248
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
In this article, Painleve integrability of the multi-component Sasa-Satsuma equation is confirmed by using the standard WTC approach and the Kruskal simplification. Then, by means of the multi-linear variable separation approach, a new exact solution with lower-dimensional arbitrary functions is constructed. For the physical quantity U = Sigma(N)(i=1) Sigma(N)(j=i)a(ij)p(i)p(j) = -3/2 beta F(x)G(y)/(F + G)(2), new coherent structure which possesses peakons at x-axis and compactons at y-axis is illustrated both analytically and graphically.
引用
收藏
页码：823 / 828
页数：6
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