Darboux transformations and exact solutions of two dimensional A2n(2) Toda equation

DOI10.1063/1.1857033zbMath1067.37115OpenAlexW2027769905MaRDI QIDQ3024276

Zi-Xiang Zhou

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1857033

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

Finite dimensional integrable systems related to two dimensional \(A^{(2)}_{2l},C_{l}^{(1)}\) and \(D_{l+1}^{(2)}\) Toda equations ⋮ Exact solutions for two dimensional \(D_n^{(1)}\) Toda equation ⋮ \(N\)-soliton solutions for a \((2+1)\)-dimensional breaking soliton equation with self-consistent sources ⋮ Darboux transformation and exact solutions for two dimensional \(A_{2n -1}^{(2)}\) Toda equations

Cites Work

• Liouville's theorem and the method of the inverse problem
• Integrable nonlinear Klein-Gordon equations and Toda lattices
• Toda versus Pfaff lattice and related polynomials.
• The general solution of two-dimensional matrix Toda chain equation with fixed ends
• Global solutions of the elliptic 2D periodic Toda lattice
• An algebraic method to construct the Darboux matrix
• Laplace sequences of surfaces in projective space and two-dimensional Toda equations
• Weierstraß-type representation of affine spheres

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