On µ-symmetries, µ-reductions, and µ-conservation laws of Gardner equation. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Orhan, Özlem; Özer, Teoman
• Is Part Of: Journal of nonlinear mathematical physics. Volume 26:Issue 1(2019)
• Page Start: 69
• Page End: 90
• Publication Date: 2019-01-02
• Subjects: µ-symmetries -- µ-conservation laws -- µ-reductions -- classification -- Gardner equation; 35J05 -- 35KO5 -- 54H15; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2019.1544789
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : In this study, we represent an application of the geometrical characterization of µ -prolongations of vector fields to the nonlinear partial differential Gardner equation with variable coefficients. First, µ -symmetries and the corresponding µ -symmetry classification are investigated and then µ -reduction forms of the equations are obtained. Furthermore, µ -invariant solutions are determined and µ -conservation laws of Gardner equation are studied.