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Lie algebraic structures of some (1+2)-dimensional Lax integrable systems

Authors
Journal
Chaos Solitons & Fractals
0960-0779
Publisher
Elsevier
Publication Date
Volume
15
Issue
4
Identifiers
DOI: 10.1016/s0960-0779(02)00178-9
Disciplines
  • Mathematics

Abstract

Abstract The paper proposes an approach to constructing the symmetries and their algebraic structures for isospectral and nonisospectral evolution equations of (1+2)-dimensional systems associated with the linear problem of Sato theory. To do that, we introduce the implicit representations of the isospectral flows { K m } and nonisospectral flows { σ n } in the high dimensional cases. Three examples, the Kodomstev–Petviashvili system, BKP system and new CKP system, are considered to demonstrate our method.

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