Interactions among Periodic Waves and Solitary Waves of the (2+1)-Dimensional Konopelchenko–Dubrovsky Equation

doi:10.1088/0256-307X/30/6/060202

Chin. Phys. Lett.

2013, Vol. 30

Issue (6): 060202 DOI: 10.1088/0256-307X/30/6/060202

GENERAL

Interactions among Periodic Waves and Solitary Waves of the (2+1)-Dimensional Konopelchenko–Dubrovsky Equation

LEI Ya¹, LOU Sen-Yue^1,2**

¹Faculty of Science, Ningbo University, Ningbo 315211
²Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062

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LEI Ya, LOU Sen-Yue 2013 Chin. Phys. Lett. 30 060202

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Abstract By using the truncated Painlevé analysis and the generalized tanh function expansion approaches, many interaction solutions among solitons and other types of nonlinear excitations of the Konopelchenko–Dubrovsky (KD) equation can be obtained. Particularly, the soliton-cnoidal wave interaction solutions are studied by means of the Jacobi elliptic functions and the third type of incomplete elliptic integrals.

Received: 21 January 2013 Published: 31 May 2013

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

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/6/060202 OR https://cpl.iphy.ac.cn/Y2013/V30/I6/060202

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	LEI Ya
	LOU Sen-Yue

[1] Lou S Y 2000 Phys. Lett. A 277 94
Lou S Y and Ruan H Y 2001 J. Phys. A: Math. Gen. 34 305
Tang X Y, Lou S Y and Zhang Y 2002 Phys. Rev. E 66 046601
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Shin H J 2004 arXiv:nlin/0410065v2 [nlin.SI]
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[14] Lou S Y, Hu X R and Chen Y 2012 arXiv:1201.3409 [math-ph]
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Hu X R, Lou S Y and Chen Y 2012 Phys. Rev. E 85 056607
[15] Cheng X P, Chen C L and Lou S Y 2012 arXiv:1208.3259 [nlin.SI]

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