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Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spaces

Sen-Yue Lou

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Similarly to the Kadomtsev-Petviashvili (KP) equation, a set of generalized symmetries with arbitrary functions of t is given by a simple constructable formula for the integrable dispersive long wave equations in 2+1 space dimensions. These symmetries constitute an infinite-dimensional Lie algebra which is a generalization to the known winfinity algebra.


PACS

02.30.Ik Integrable systems

02.20.Tw Infinite-dimensional Lie groups

MSC

22E65 Infinite-dimensional Lie groups and their Lie algebras (See also 17B65, 58B25, 58H05)

37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

Subjects

Mathematical physics

Dates

Issue 9 (7 May 1994)



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