An application of the Casoratian technique to the 2D Toda lattice equation
Wen-Xiu Ma
TL;DR
This paper introduces a Casoratian-based method for solving the 2D Toda lattice equation, generating explicit solutions via eigenfunction systems and Baecklund transformations.
Contribution
It presents a novel Casoratian formulation for the 2D Toda lattice, enabling systematic solution generation through linear conditions and transformations.
Findings
Derived explicit Casoratian solutions for the 2D Toda lattice
Established a framework connecting eigenfunction systems with solutions
Demonstrated solution generation using Baecklund transformations
Abstract
A general Casoratian formulation is proposed for the 2D Toda lattice equation, which involves coupled eigenfunction systems. Various Casoratian type solutions are generated, through solving the resulting linear conditions and using a Baecklund transformation.
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