Bäcklund transformation, residual symmetry and exact interaction solutions of an extended (2+1)-dimensional Korteweg–de Vries equation. (February 2022)

• Record Type: Journal Article
• Authors: Wu, Huiling; Chen, Qiaoyun; Song, Junfeng
• Is Part Of: Applied mathematics letters. Volume 124(2022)
• Publication Date: 2022-02
• Subjects: Extended (2+1)-dimensional KdV equation -- Bäcklund transformation -- Nonlocal residual symmetry -- Consistent tanh expansion method -- Interaction solution; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107640
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: Starting from the truncated Painlevé expansion, auto- and non-auto Bäcklund transformations are constructed for an extended (2+1)-dimensional Korteweg–de Vries equation. Then nonlocal residual symmetry is derived and localized to obtain the finite group transformation. By virtue of a simple connection between the truncated Painlevé expansion and the consistent tanh expansion (CTE) method, exact single soliton and resonant two-soliton solutions as well as interaction solutions between soliton and cnoidal wave are presented explicitly.