Calogero-Moser-Sutherland Dynamical Systems Associated with Nonlocal Nonlinear Schrodinger Equation for Envelope Waves

• Matsuno Yoshimasa

  Department of Applied Science, Faculty of Engineering, Yamaguchi University, Ube 755-8611

書誌事項

タイトル別名

• Calogero-Moser-Sutherland Dynamical Systems Associated with Nonlocal Nonlinear Schroedinger Equation for Envelope Waves.
• Calogero–Moser–Sutherland Dynamical Systems Associated with Nonlocal Nonlinear Schrödinger Equation for Envelope Waves

抄録

The properties of the soliton and periodic wave solutions of a nonlocal nonlinear Schrödinger 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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 71 (6), 1415-1418, 2002

  一般社団法人 日本物理学会

キーワード

• nonlocal NLS equation
• Calogero-Moser-Sutherland system
• soliton
• pole expansion

詳細情報

• CRID: 1390282679159828096
• NII論文ID: 110001971779
• NII論文ID: 210000103697
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.71.1415
• BIBCODE: 2002JPSJ...71.1415M
• ISSN: 13474073
• ISSN: 00319015
• MRID: 1928732
• NDL書誌ID: 6189562
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6189562
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.71.1415
• 本文言語コード: en
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