New Classical and Quantum Integrable Systems Related to the MkdV Integrable Hierarchy

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概要

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• A new finite-diraaension;tl claxssical integrable systern and a new qtranttrrn integrarble systeraaare generated frorn a sjcectral problezaa for the IN/IKdV hierarchy throtrgh the nonlinearizationtecluniqtre of L2lX syster?as. Otrr classicatl integrable systenu is an exatttaple of' Gattrdin raaagnet withbotrndary and relates to the finite band soltntions of' the lVIKdV luierarcl+y. Its Lax representationand r-tnatrix is given, ;tr'nd its separation of' variables is perf'ormed. Based on 21 direct linkbetxveen r-zaaartrix f'orzntrlats ['or classical systenas and qtraxnturn probleraas, 21 qtranttrna itategrablesysteuaa with separ'?tted vatriables is presez'ated.

• 社団法人日本物理学会の論文
• 1998-12-15

著者

• Ma Wen-xiu

  Department Of Mathematics City University Of Hong Kong

• ZHOU Ruguang

  Department of Mathematics,Xuzhou Normal University

• Zhou Ruguang

  Department Of Mathematics Xuzhou Normal University

• Ma Wen-Xiu

  Department of Mathematics,City University of Hong Kong

関連論文

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• Finite Dimensional Integrable Hamiltonian Systems Associated with DSI Equation by Bargmann Constraints : General Physics
• Generalized Casorati Determinant and Positon-Negaton-Type Solutions of the Toda Lattice Equation (General)
• New Classical and Quantum Integrable Systems Related to the MkdV Integrable Hierarchy
• A Multipotential Generalization of the Nonlinear Diffusion Equation : General Physics
• Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies : General Physics
• Soliton, Positon and Negaton Solutions to a Schrodinger Self-consistent Source Equation(General)

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