Nonlocal Symmetry Reductions, CTE Method and Exact Solutions for Higher-Order KdV Equation. (1st February 2015)

• Record Type: Journal Article
• Authors: Ren, Bo; Liu, Xi-Zhong; Liu, Ping
• Is Part Of: Communications in theoretical physics. Volume 63:Number 2(2015:Feb.)
• Page Start: 125
• Page End: 128
• Publication Date: 2015-02-01
• Subjects: Physics -- Periodicals; 530.105
• DOI: 10.1088/0253-6102/63/2/01
• Languages: English
• ISSNs: 0253-6102

Abstract

<abstract xml:lang="en"> <title>Abstract</title> <p>The nonlocal symmetries for the higher-order KdV equation are obtained with the truncated Painlevé method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing suitable prolonged systems. The finite symmetry transformations and similarity reductions for the prolonged systems are computed. Moreover, the consistent tanh expansion (CTE) method is applied to the higher-order KdV equation. These methods lead to some novel exact solutions of the higher-order KdV system.</p> </abstract>