A Functional Integral Representation of the Soliton Solution

• Hirota Ryogo

  Department of Applied Mathematics, Faculty of Engineering, Hiroshima University

• Wadati Miki

  Institute of Applied Physics, The University of Tsukuba

抄録

It is shown that the N-soliton solution of the Korteweg-de Vries equation can be expressed in terms of a functional integral with anti-commuting numbers. Further, it is found that the usage of the functional integral gives a novel derivation of the Gelfand-Levitan equation.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 47 (4), 1385-1386, 1979

  一般社団法人 日本物理学会

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1390001204183628928
• NII論文ID: 110001964470
• NII論文ID: 130003737847
• NII論文ID: 210000088115
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.47.1385
• BIBCODE: 1979JPSJ...47.1385H
• COI: 1:CAS:528:DyaE1MXitFanuro%3D
• ISSN: 13474073
• ISSN: 00319015
• MRID: 550207
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.47.1385
• 本文言語コード: en
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