Darboux transformation and exact solutions for two dimensional \(A_{2n -1}^{(2)}\) Toda equations

DOI10.1007/S11401-022-0361-2zbMath1502.35142OpenAlexW4312868850MaRDI QIDQ2095591

Zi-Xiang Zhou

Publication date: 17 November 2022

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-022-0361-2

zbMATH Keywords

exact solutionsDarboux transformationtwo-dimensional affine Toda equation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (1)

Exact solutions for two dimensional \(D_n^{(1)}\) Toda equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthogonal Laurent polynomials on the unit circle, extended CMV ordering and 2D Toda type integrable hierarchies
• Two-dimensional Toda field equations related to the exceptional algebra \(\mathfrak g_2\): spectral properties of the Lax operators
• Momentum conserving defects in affine Toda field theories
• Solving Toda field theories and related algebraic and differential properties
• The rational dressing for abelian twisted loop Toda systems
• Darboux transformation and the explicit solutions of differential- difference and difference-difference evolution equations. I
• Two-dimensional generalized Toda lattice
• Nonabelian Toda theories from parafermionic reductions of the WZW model
• The general solution of two-dimensional matrix Toda chain equation with fixed ends
• Differential geometry of Toda systems
• Hirota's solitons in the affine and the conformal affine Toda models
• Darboux transformations in integrable systems. Theory and their applications to geometry
• Darboux transformations and exact solutions of two dimensional A2n(2) Toda equation
• Darboux transformations of lower degree for two-dimensional C ⁽¹⁾ _l and D ⁽²⁾ _{l +1} Toda equations
• Algebraic construction of the Darboux matrix revisited
• Darboux transformations for the two-dimensional Toda system
• Global solutions of the elliptic 2D periodic Toda lattice
• More non-Abelian loop Toda solitons
• On Toda system with Cartan matrix $G_2$
• Laplace sequences of surfaces in projective space and two-dimensional Toda equations

This page was built for publication: Darboux transformation and exact solutions for two dimensional \(A_{2n -1}^{(2)}\) Toda equations