Symmetries and Conservation Laws of Kadomtsev—Pogutse Equations

V. N. Gusyatnikova, A. V. Samokhin, V. S. Titov, A. M. Vinogradov and V. A. Yumaguzhin
Additional contact information
V. N. Gusyatnikova: U.S.S.R. Academy of Sciences, Program Systems Institute
A. V. Samokhin: Moscow Institute of Civil Aviation Engineers
V. S. Titov: U.S.S.R. Academy of Sciences, Program Systems Institute
A. M. Vinogradov: Moscow State University, Department of Mechanics and Mathematics
V. A. Yumaguzhin: U.S.S.R. Academy of Sciences, Program Systems Institute

A chapter in Symmetries of Partial Differential Equations, 1989, pp 23-64 from Springer

Abstract: Abstract Kadomtsev-Pogutse equations are of great interest from the viewpoint of the theory of symmetries and conservation laws and, in particular, enable us to demonstrate their potentials ‘in action’. This paper presents, firstly, the results of computations of symmetries and conservation laws for these equations and the methods of obtaining these results. Apparently, all the local symmetries and conservation laws admitted by the considered equations are exhausted by those enumerated in this paper. Secondly, we point out some reductions of Kadomtsev-Pogutse equations to more simpler forms which have less independent variables and which, in some cases, allow us to construct exact solutions. Finally, the technique of solution deformation by symmetries and their physical interpretation are demonstrated.

Keywords: Magnetohydrodynamic equations; symmetry; conservation laws; invariant solution (search for similar items in EconPapers)
Date: 1989
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-1948-8_2

Ordering information: This item can be ordered from
http://www.springer.com/9789400919488

DOI: 10.1007/978-94-009-1948-8_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().