An application of the Casoratian technique to the 2D Toda lattice equation. (English) Zbl 1153.82310

Ma, Wen-Xiu

Mod. Phys. Lett. B 22, No. 19, 1815-1825 (2008).

Summary: A general Casoratian formulation is proposed for the 2D Toda lattice equation, which involves two coupled eigenfunction systems. Various Casoratian type solutions are generated, through solving the resulting linear conditions and using a Bäcklund transformation.

MSC:

82B20	Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
35Q51	Soliton equations
35Q53	KdV equations (Korteweg-de Vries equations)

Keywords:

2D Toda lattice equation; Casoratian formulation; soliton; complexiton

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