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Soliton solutions of a coupled Ramani equation

Institution:	1. Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Academia Sinica, Graduate School of the Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, PR China;2. Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong, PR China

Abstract:	In this work, multi-soliton solutions of the coupled Ramani equations $u_{x x x x x x} + 15 u_{x x} u_{x x x} + 15 u_{x} u_{x x x x} + 45 u_{x}^{2} u_{x x} - 5 (u_{x x x t} + 3 u_{x x} u_{t} + 3 u_{x} u_{x t}) - 5 u_{t t} + 18 w_{x} = 0,$ $w_{t} - w_{x x x} - 3 w_{x} u_{x} - 3 w u_{x x} = 0,$ are derived and expressed using Pfaffians in a compact form.

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