Nonlocal symmetries, consistent tanh expansion solvability and interaction solutions for a new fifth-order nonlinear integrable equation. Issue 2 (2nd April 2020)

• Record Type: Journal Article
• Authors: Hu, Hengchun; Li, Yueyue; Zhu, Haidong
• Is Part Of: Waves in random and complex media. Volume 30:Issue 2(2020)
• Page Start: 208
• Page End: 215
• Publication Date: 2020-04-02
• Subjects: Nonlocal symmetry -- consistent tanh expansion method -- soliton–cnoidal waves -- new fifth-order nonlinear equation; 02.30.Jr -- 02.30.Ik -- 05.45.Yv; Electromagnetic waves -- Periodicals; Electromagnetic waves -- Scattering -- Periodicals; 531.1133
• DOI: 10.1080/17455030.2018.1497219
• Languages: English
• ISSNs: 1745-5030

Abstract

ABSTRACT: The nonlocal symmetries for a new fifth-order integrable equation are obtained with the truncated Painlevé method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables and the corresponding finite transformations are computed directly. New exact solutions of the new fifth-order integrable equation are also proved to have the consistent tanh expansion form. New exact interaction excitations such as soliton–cnoidal wave solutions and soliton–periodic wave solutions are given out analytically and graphically.