ALTERNATIVE LAX PAIR, BI-HAMILTONIAN STRUCTURE, AND CONSTRAINED FLOWS FOR THE ψ-DYNAMIC OF NLS EQUATION
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Published:1999-10-20
Issue:26
Volume:14
Page:4177-4188
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ISSN:0217-751X
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Container-title:International Journal of Modern Physics A
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language:en
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Short-container-title:Int. J. Mod. Phys. A
Author:
DAS CHANDAN KR.1,
CHOWDHURY A. ROY1
Affiliation:
1. High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta 700 032, India
Abstract
Nonlinear equations describing the ψ-dynamics of the NLS problem are analyzed with the help of small amplitude expansion and Fourier analysis. An alternative form of Lax problem is deduced which is a (2×2) matrix function in contrast to the (3×3) form suggested by Dodd. et al. We also derive the form of the implectic operators giving bi-Hamiltonian structure. Lastly, the Bargmann type constraint is shown to yield nonlinear dynamical systems which is also integrable in the Liouville sense.
Publisher
World Scientific Pub Co Pte Lt
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics