Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation

doi:10.1088/1674-1056/27/4/040202

Abstract This paper is concerned with the generalized variable-coefficient nonlinear evolution equation (vc-NLEE). The complete integrability classification is presented, and the integrable conditions for the generalized variable-coefficient equations are obtained by the Painlevé analysis. Then, the exact explicit solutions to these vc-NLEEs are investigated by the truncated expansion method, and the Lax pairs (LP) of the vc-NLEEs are constructed in terms of the integrable conditions.

Keywords: Painlevé test integrability classification Lax pair truncated expansion exact solution

Received: 01 December 2017
Revised: 01 January 2018
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11171041) and the High-Level Personnel Foundation of Liaocheng University (Grant No. 31805).

Corresponding Authors: Han-Ze Liu
E-mail: bzliuhanze@163.com

Cite this article:

Han-Ze Liu(刘汉泽), Li-Xiang Zhang(张丽香) Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation 2018 Chin. Phys. B 27 040202

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Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation

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