On the Hirota Representation of Soliton Equations with One Tau-Function : General Physics

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概要

• 論文の詳細を見る

• Alternative Hirota representations in terms of a single tau-function are derived for a variety of soliton equations, including the sine-Gordon and the Tzitzeica equations. The relevance of these representations with respect to known bilinear representations of integrable hierarchies is briefly discussed. The essentials of the derivation method are presented.

• 社団法人日本物理学会の論文
• 2001-03-15

著者

• Lambert F

  Vrije Univ. Brussel Brussels Bel

• Lambert Franklin

  Department Of Theoretical Physics (tena We) Free University Of Brussels (v.u.b.)

• WILLOX Ralph

  Dienst Tena, Vrije Universiteit Brussel

• SPRINGAEL Johan

  Dienst Theoretische Natuurkunde,Vrije Universiteit Brussel

• Loris Ignace

  Dienst Theoretische Natuurkunde Vrije Universiteit Brussel Pleinlaan 2

• Willox R

  Graduate School Of Mathematical Sciences The University Of Tokyo

• Willox Ralph

  Dienst Tena Vrije Universiteit Brussel

• LAMBERT Franklin

  Dienst Theoretische Natuurkunde, Vrije Universiteit Brussel Pleinlaan 2

• Lambert Franklin

  Dienst Theoretische Natuurkunde Vrife Universiteit Brussel

• Springael J

  Department Of Environment Technology And Technology Management University Of Antwerp

• Springael Johan

  Dienst Theoretische Natuurkunde Vrije Universiteit Brussel

• SPRINGAEL Johan

  Dienst Theoretische Natuurkunde, Vrije Universiteit Brussel Pleinlaan 2

• LORIS Ignace

  Dienst Theoretische Natuurkunde, Vrije Universiteit Brussel Pleinlaan 2

関連論文

• Two-dimensional soliton cellular automaton of deautonomized Toda-type(Discrete Integrable System and Discrete Analysis)
• Bilinear Characterization of Higher Order Ito-Equations
• An Elementary Approach to Hierarchies of Soliton Equations(General)
• On the Hirota Representation of Soliton Equations with One Tau-Function : General Physics
• Two-Soliton Resonances for KdV-Like Solitary Waves
• Soliton Solutions of Wronskian Form to the Nonlocal Boussinesq Eqution
• Construction of Backlund Transformations with Binary Bell Polynomials
• On the Balance between Dispersion and Nonlinearlity for a Class of Bilinear Equations
• Solutions of Coupled Korteweg-de Vries Systems : General Physics

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