Exact solution and semifolded structures of generalized Broer–Kaup system in (2+1)-dimensions

Chun-Long Zheng, Hai-Ping Zhu and Li-Qun Chen

Chaos, Solitons & Fractals, 2005, vol. 26, issue 1, 187-194

Abstract: Starting from a special Painlevé–Bäcklund transformation, the nonlinear generalized Broer–Kaup(GBK) system in (2+1)-dimensions is reduced to a linear system. Then by means of the linear superposition theorem, a general variable separation excitation to the generalized Broer–Kaup system is obtained. Finally, based on the derived solution, a new type of localized structure, i.e., semifolded localized coherent structure is constructed and some evolution properties of the novel semifolded localized structure are briefly discussed.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:1:p:187-194

DOI: 10.1016/j.chaos.2004.12.017

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