Application of the Binary Bell Polynomials Method to the Dissipative (2+1)-Dimensional AKNS Equation

doi:10.1088/0256-307X/29/12/120201

Chin. Phys. Lett.

2012, Vol. 29

Issue (12): 120201 DOI: 10.1088/0256-307X/29/12/120201

GENERAL

Application of the Binary Bell Polynomials Method to the Dissipative (2+1)-Dimensional AKNS Equation

LIU Na¹, LIU Xi-Qiang^2**

¹Business School, Shandong University of Political Science and Law, Jinan 250014
²School of Mathematical Sciences, Liaocheng University, Liaocheng 252059

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LIU Na, LIU Xi-Qiang 2012 Chin. Phys. Lett. 29 120201

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Abstract Based on the binary Bell polynomials, the bilinear representation, bilinear B?cklund transformation and the Lax pair for the dissipative (2+1)-dimensional Ablowitz–Kaup–Newell–Segur (AKNS) equation are obtained. Moreover, the infinite conservation laws are also derived.

Received: 13 August 2012 Published: 04 March 2013

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

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/12/120201 OR https://cpl.iphy.ac.cn/Y2012/V29/I12/120201

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