A noncommutative coupled dispersionless system, Darboux transformation and explicit solutions

DOI10.1142/S021773231450206XzbMath1310.37037MaRDI QIDQ5179499

Nosheen Mushahid, Mahmood Ul Hassan

Publication date: 20 March 2015

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

zbMATH Keywords

Darboux transformationquasideterminantsnoncommutative integrable system

Mathematics Subject Classification ID

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

Related Items (4)

Noncommutative negative order AKNS equation and its soliton solutions ⋮ Exact solutions of the noncommutative and commutative nonlinear Schrödinger equation in 2 + 1 dimensions ⋮ Multi-component noncommutative coupled dispersionless system and its quasideterminant solutions ⋮ Integrability properties of a supersymmetric coupled dispersionless integrable system

Cites Work

• Soliton solutions of the coupled dispersionless equation
• Painlevé analysis and the integrability properties of coupled integrable dispersionless equations.
• Integrable noncommutative sine-Gordon model
• Noncommutative integrable field theories in 2d
• Quasideterminants
• Determinants of matrices over noncommutative rings
• An integrable noncommutative version of the sine-Gordon system
• Bäcklund transformation and soliton solutions for the coupled dispersionless equations
• Singularity structure analysis and Hirota's bilinearisation of the coupled integrable dispersionless equations
• DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF A NONCOMMUTATIVE SINE–GORDON SYSTEM
• Darboux transformation of the generalized coupled dispersionless integrable system
• Quasideterminant solutions of an integrable chiral model in two dimensions
• Algebraic construction of the Darboux matrix revisited
• Canonical formulation of a generalized coupled dispersionless system
• A Generalization of Coupled Integrable, Dispersionless System
• Lagrangian, Hamiltonian and Conserved Quantities for Coupled Integrable, Dispersionless Equations
• On Equations Gauge Equivalent to the Sine-Gordon and Pohlmeyer-Lund-Regge Equations

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