A Note on Casoratian Solutions to Two-Dimensional Toda Lattice

DOI10.1088/0253-6102/47/3/002zbMath1355.37089OpenAlexW2148093844MaRDI QIDQ2960027

Hua Wu, Da-jun Zhang

Publication date: 7 February 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7fdcc4c4c8bfd0c6288fb316bda5f810e154a9aa

zbMATH Keywords

bilineartwo-dimensional Toda latticeCasoration solution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (3)

Two-periodic waves and asymptotic property for generalized 2D Toda lattice equation ⋮ Breathers and limit solutions of the nonlinear lumped self-dual network equation ⋮ Exact periodic wave solutions for the differential-difference KP equation

Cites Work

• Soliton solution of three differential-difference equations in Wronskian form
• Complexiton solutions to the Korteweg-de Vries equation
• Rational solutions of the Toda lattice equation in Casoratian form
• Singular solutions in Casoratian form for two differential-difference equations
• Soliton Solutions of Non-linear Evolution Equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
• Generalized Casorati Determinant and Positon–Negaton-Type Solutions of the Toda Lattice Equation

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