Conservation Laws and optimal system of extended quantum Zakharov-Kuznetsov equation. Issue 2 (2nd April 2016)

• Record Type: Journal Article
• Authors: Jiang, Yao-Lin; Lu, Yi; Chen, Cheng
• Is Part Of: Journal of nonlinear mathematical physics. Volume 23:Issue 2(2016)
• Page Start: 157
• Page End: 166
• Publication Date: 2016-04-02
• Subjects: Extended quantum Zakharov-Kuznetsov equation -- conserved vector -- optimal system -- similarity transformation -- reduction; 35G20 -- 35L65 -- 58J70; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2016.1161258
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : In this paper, the (2+1)-dimensional extended quantum Zakharov-Kuznetsov equation is further explored. The equation is shown to be self-adjoint and conserved vector is constructed according to the related theorem. Then the corresponding optimal system of one-dimensional subgroups is determined. Similarity reductions of the equation under optimal system of subgroups are performed. As a result, the (2+1)-dimensional extended quantum Zakharov-Kuznetsov equation is reduced into a linear PDE with two independent variables.