Noncommutative negative order AKNS equation and its soliton solutions

DOI10.1142/S0217732318502097zbMath1402.37079MaRDI QIDQ4555787

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Publication date: 23 November 2018

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

zbMATH Keywords

solitonsDarboux transformationquasideterminantsnoncommutative integrable systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

A vectorial binary Darboux transformation for the first member of the negative part of the AKNS hierarchy ⋮ \((2+1)\)-dimensional AKNS \((-N)\) systems. II ⋮ Noncommutative coupled complex modified Korteweg–de Vries equation: Darboux and binary Darboux transformations ⋮ Darboux Transformation for a Negative Order AKNS Equation

Cites Work

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• Non-commutative Ward's conjecture and integrable systems
• String theory and noncommutative geometry
• Quasideterminants
• Determinants of matrices over noncommutative rings
• Propagation of ultra-short optical pulses in cubic nonlinear media
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• Darboux transformation of a semi-discrete coupled dispersionless integrable system
• Multisoliton solutions of integrable discrete and semi-discrete principal chiral equations
• Darboux transformations in integrable systems. Theory and their applications to geometry
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Discrete Analogues of a Negative Order AKNS Equation
• An integrable shallow water equation with peaked solitons
• Multi-component noncommutative coupled dispersionless system and its quasideterminant solutions
• The Short Pulse Equation Is Integrable
• A noncommutative coupled dispersionless system, Darboux transformation and explicit solutions
• A discrete negative AKNS equation: generalized Cauchy matrix approach
• BICOMPLEXES, INTEGRABLE MODELS, AND NONCOMMUTATIVE GEOMETRY
• Noncommutative perturbative dynamics

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