CTE Solvability and Exact Solution to the Broer-Kaup System

doi:10.1088/0256-307X/30/11/110202

Chin. Phys. Lett.

2013, Vol. 30

Issue (11): 110202 DOI: 10.1088/0256-307X/30/11/110202

GENERAL

CTE Solvability and Exact Solution to the Broer-Kaup System

CHEN Chun-Li^1**, LOU Sen-Yue²

¹Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240
²Department of Physics, Ningbo University, Ningbo 315211

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CHEN Chun-Li, LOU Sen-Yue 2013 Chin. Phys. Lett. 30 110202

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Abstract A consistent tanh expansion (CTE) is used to solve the Broer–Kaup (BK) system. It is proved that the BK system is CTE solvable. Some exact interaction solutions among different nonlinear excitations such as solitons, rational waves, periodic waves, error function waves and any Burgers waves are explicitly given.

Received: 02 September 2013 Published: 30 November 2013

PACS:	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/11/110202 OR https://cpl.iphy.ac.cn/Y2013/V30/I11/110202

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	CHEN Chun-Li
	LOU Sen-Yue

[1] Gu C H Hu H S and Zhou Z X 2005 Darboux Transformations in Integrable Systems Theory and Their Applications to Geometry: Mathematical Physics Studies vol 26 (Springer, Dordrecht)
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