Darboux transformation and explicit solutions for the derivative versions of Toda equation

DOI10.1016/j.physleta.2007.09.060zbMath1217.37061OpenAlexW1977566724MaRDI QIDQ552887

Zhengyan Wang

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.09.060

zbMATH Keywords

explicit solutionDarboux transformationderivative Toda equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

Extended mixed function method and its application for solving two classic Toda lattice equations ⋮ \(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice system

Cites Work

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• An integrable \((2+1)\)-dimensional Toda equation with two discrete variables
• Theory of nonlinear lattices
• New factorization of the Kaup-Newell hierarchy
• The classical Toda lattice with long range interaction
• A new hierarchy of integrable differential-difference equations and Darboux transformation
• A continuum limit of the relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients
• Remarks on several 2+1 dimensional lattices
• From the special 2 + 1 Toda lattice to the Kadomtsev-Petviashvili equation
• Lattice Geometry of the Discrete Darboux, KP, BKP and CKP Equations. Menelaus' and Carnot's Theorems
• A (2+1)-dimensional derivative Toda equation in the context of the Kaup-Newell spectral problem

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