Self-adjointness and conservation laws for Kadomtsev–Petviashvili–Burgers equation. (June 2015)

• Record Type: Journal Article
• Authors: Wei, Long; Zhang, Jiezi
• Is Part Of: Nonlinear analysis. Volume 23(2015)
• Page Start: 123
• Page End: 128
• Publication Date: 2015-06
• Subjects: Nonlinear self-adjointness -- Lie point symmetry -- Ibragimov's theorem -- Conservation law; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.11.008
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this work we study the Kadomtsev–Petviashvili–Burgers equation, which is a natural model for the propagation of the two-dimensional damped waves. We show that the equation is nonlinear self-adjoint and it will become strict self-adjoint or weak self-adjoint in some equivalent form. By using Ibragimov's theorem on conservation laws we find some conservation laws for this equation.