Conservation Laws of the Two-Dimensional Toda Lattice Hierarchy(General)

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概要

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• A novel method of constructing the conservation laws of (1+2)-dimensional differential-difference systems is proposed. By introducing the generalized Riccati equation related to the pseudo-difference operator, we obtain the infinitely many conserved densities and the associated fluxes of the two-dimensional Toda lattice hierarchy. Moreover, this method presents more forms of the conservation laws than the previous approach [K. Kajiwara and J. Satsuma: J. Math. Phys. 32 (1991) 506].

• 社団法人日本物理学会の論文
• 2002-11-15

著者

• Zhang D‐j

  Shanghai Univ. Shanghai Chn

• Zhang Da-jun

  Department Of Mathematics Shanghai University

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• Remarks on Some Solutions of Soliton Equations
• The Novel Multi-Soliton Solutions of the MKdV-Sine Gordon Equations
• Conservation Laws of the Two-Dimensional Toda Lattice Hierarchy(General)
• The N-Soliton Solutions for the Modified KdV Equation with Self-Consistent Sources(General)

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