Symmetries and conservation laws of Kadomtsev-Pogutse equations
作者： V. N. Gusyatnikova , A. V. Samokhin , V. S. Titov , A. M. Vinogradov , V. A. Yumaguzhin
DOI: 10.1007/978-94-009-1948-8_2
关键词: Partial differential equation 、 Homogeneous space 、 Interpretation (model theory) 、 Theoretical physics 、 Conservation law 、 Action (physics) 、 Symmetry (physics) 、 Mathematics 、 Variables 、 Laws of science
摘要: Kadomtsev-Pogutse equations are of great interest from the viewpoint theory symmetries and conservation laws and, in particular, enable us to demonstrate their potentials ‘in action’. This paper presents, firstly, results computations for these methods obtaining results. Apparently, all local admitted by considered exhausted those enumerated this paper. Secondly, we point out some reductions more simpler forms which have less independent variables which, cases, allow construct exact solutions. Finally, technique solution deformation physical interpretation demonstrated.
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