Nonlocal symmetries and similarity reductions for Korteweg-de Vries-negative-order Korteweg-de Vries equation

doi:10.1088/1674-1056/ab6dca

Abstract The nonlocal symmetries are derived for the Korteweg-de Vries-negative-order Korteweg-de Vries equation from the Painlevé truncation method. The nonlocal symmetries are localized to the classical Lie point symmetries for the enlarged system by introducing new dependent variables. The corresponding similarity reduction equations are obtained with different constant selections. Many explicit solutions for the integrable equation can be presented from the similarity reduction.

Keywords: nonlocal symmetry symmetry reduction Lie point symmetry KdV-nKdV equation

Received: 05 December 2019
Revised: 21 January 2020
Accepted manuscript online:

PACS:	02.30.Ik	(Integrable systems)
	04.20.Jb	(Exact solutions)
	05.45.Yv	(Solitons)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11471215).

Corresponding Authors: Heng-Chun Hu
E-mail: hhengchun@163.com

Cite this article:

Heng-Chun Hu(胡恒春), Fei-Yan Liu(刘飞艳) Nonlocal symmetries and similarity reductions for Korteweg-de Vries-negative-order Korteweg-de Vries equation 2020 Chin. Phys. B 29 040201

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Nonlocal symmetries and similarity reductions for Korteweg-de Vries-negative-order Korteweg-de Vries equation

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