Calogero-Moser-Sutherland Dynamical Systems Associated with Nonlocal Nonlinear Schrodinger Equation for Envelope Waves
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概要
- 論文の詳細を見る
The properties of the soliton and periodic wave solutions of a nonlocal nonlinear Schrodinger equation for envelope waves are investigated by the pole expansion method. For both solutions, the dynamics of the poles are shown to be described by the first-order systems of nonlinear ordinary differential equations (ODEs). A significant result reported here is that in the case of solitons, the system is reducible to the Calogero-Moser dynamical system whereas in the case of periodic waves, the corresponding system is found to be the Calogero-Moser-Sutherland dynamical system. We then establish a purely algebraic method for solving the first-order systems of ODEs and prove their complete integrability.
- 社団法人日本物理学会の論文
- 2002-06-15
著者
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Matsuno Yoshimasa
Department Of Applied Science Faculty Of Engineering Yamaguchi University
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MATSUNO Yoshimasa
Department of Applied Science, Faculty of Engineering, Yamaguchi University
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