The general solution of two-dimensional matrix Toda chain equation with fixed ends

DOI10.1007/BF00750841zbMath0841.35100MaRDI QIDQ1903515

A. N. Leznov, Emil A. Yuzbashyan

Publication date: 29 November 1995

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

zbMATH Keywords

matrix nonlinear Schrödinger equationmatrix Toda chaingroup of discrete symmetries

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (11)

Maximally non-abelian Toda systems ⋮ Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation ⋮ Finite dimensional integrable systems related to two dimensional \(A^{(2)}_{2l},C_{l}^{(1)}\) and \(D_{l+1}^{(2)}\) Toda equations ⋮ Discrete transformation for the matrix three-wave problem in three dimensional space ⋮ Exact solutions for two dimensional \(D_n^{(1)}\) Toda equation ⋮ Fine structure of matrix Darboux-Toda integrable mapping ⋮ Darboux transformations and exact solutions of two dimensional A2n(2) Toda equation ⋮ Fine Structure of the Discrete Transformation for Multicomponent Integrable Systems ⋮ Graded Lie algebras, representation theory, integrable mappings and systems. Non-abelian case ⋮ Darboux transformation and exact solutions for two dimensional \(A_{2n -1}^{(2)}\) Toda equations ⋮ Integrable mappings for noncommutative objects

Cites Work

• Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
• On three-dimensional packets of surface waves

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