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1. Painlevé Integrability and a New Exact Solution of the Multi-Component Sasa-Satsuma Equation.

Author

Ye, Yujian, Zhang, Danda, and Di, Yanmei

Subjects
*PAINLEVE equations, *COHERENT structures, *WAVE equation, *SINE-Gordon equation, *ARBITRARY constants, *MATHEMATICAL variables
Abstract

In this article, Painlevé 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 new coherent structure which possesses peakons at x-axis and compactons at y-axis is illustrated both analytically and graphically. [ABSTRACT FROM AUTHOR]

Published
2015
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