ON THE STUDY OF NONLINEAR INTEGRABLE SYSTEMS IN (2+1) DIMENSIONS BY DRINFELD-SOKOLOV METHOD
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Published:1995-12-07
Issue:37
Volume:10
Page:2843-2852
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ISSN:0217-7323
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Container-title:Modern Physics Letters A
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language:en
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Short-container-title:Mod. Phys. Lett. A
Author:
MUKHOPADHYAY I.1,
ROYCHOWDHURY A.1
Affiliation:
1. High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta 700 032, India
Abstract
The Drinfeld-Sokolov formalism is extended to the case of operator-valued affine Lie algebra to derive nonlinear integrable dynamical systems in (2+1) dimensions. The Poisson structure of these integrable equations are also worked out. While from the first- and second-order flows we get some new integrable equations in (2+1) dimensions, the KP equation is seen to result from the third-order flow. Complete integrability of such equations and the existence of the bi-Hamiltonian structure are demonstrated.
Publisher
World Scientific Pub Co Pte Lt
Subject
General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics