Binary Darboux Transformation and Quasideterminant Solutions of The Chiral Field

DOI10.1142/S1402925111001465zbMath1222.37075OpenAlexW2037268699MaRDI QIDQ3018685

U. Saleem, Bushra Haider, Mahmood Ul Hassan

Publication date: 27 July 2011

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

Full work available at URL: https://doi.org/10.1142/s1402925111001465

zbMATH Keywords

integrable systemsDarboux transformationquasideterminantschiral model

Mathematics Subject Classification ID

Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

Darboux transformation and soliton solutions for a nonlocal two-component complex modified Korteweg-de Vries equation ⋮ Nonlocal Yajima-Oikawa system: binary Darboux transformation, exact solutions and dynamic properties ⋮ Soliton solutions for a two-component generalized Sasa-Satsuma equation ⋮ Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
• A dressing method in mathematical physics.
• Darboux transformations for discrete systems
• Darboux transformation and the explicit solutions of differential- difference and difference-difference evolution equations. I
• Differential-difference evolution equations. II: Darboux transformation for the Toda lattice
• Elementary and binary Darboux transformations at rings
• Quasideterminants
• Determinants of matrices over noncommutative rings
• Darboux transformation for MZM-I, II equations
• Minor identities for quasi-determinants and quantum determinants
• A new approach to the Darboux–Bäcklund transformation versus the standard dressing method
• TheU(N) chiral model and exact multi-solitons
• Quasideterminant solutions of an integrable chiral model in two dimensions
• The reduced self-dual Yang–Mills equation, binary and infinitesimal Darboux transformations
• Dressing procedure for solutions of non-linear equations and the method of operator identities
• Darboux transformations for the nonlinear Schrödinger equations
• An algebraic method to construct the Darboux matrix
• Darboux transformation and Crum's formula for multi-component integrable equations

This page was built for publication: Binary Darboux Transformation and Quasideterminant Solutions of The Chiral Field