A discrete generalized coupled dispersionless integrable system and its multisoliton solutions

DOI10.1016/j.jmaa.2017.10.046zbMath1430.37075OpenAlexW2766646247MaRDI QIDQ1682127

Peng Zhang

Publication date: 28 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.046

zbMATH Keywords

solitonDarboux transformationdiscrete 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) Discrete version of topics in analysis (39A12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (6)

Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations ⋮ An integrable noncommutative generalization of the AB system and its multisoliton solutions ⋮ Darboux transformation and exact multisolitons for a matrix coupled dispersionless system ⋮ Multi-component noncommutative coupled dispersionless system and its quasideterminant solutions ⋮ Integrability of a multicomponent coupled dispersionless integrable system ⋮ Dressing method for the multicomponent short-pulse equation

Cites Work

• Unnamed Item
• Unnamed Item
• Quasi-classical limit of Toda hierarchy and \(W\)-infinity symmetries
• Soliton solutions of the coupled dispersionless equation
• Painlevé analysis and the integrability properties of coupled integrable dispersionless equations.
• Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations
• Nonabelian integrable systems, quasideterminants, and Marchenko lemma
• Quasideterminants
• Determinants of matrices over noncommutative rings
• Bäcklund transformation and soliton solutions for the coupled dispersionless equations
• Dispersionless Toda hierarchy and two-dimensional string theory
• Singularity structure analysis and Hirota's bilinearisation of the coupled integrable dispersionless equations
• Darboux transformation of a semi-discrete coupled dispersionless integrable system
• Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
• Dispersionless integrable systems in 3D and Einstein-Weyl geometry
• Darboux transformations in integrable systems. Theory and their applications to geometry
• An interpolating dispersionless integrable system
• Darboux transformation of the generalized coupled dispersionless integrable system
• Solution of the dispersionless Hirota equations
• Bäcklund transformations and loop group actions
• A Generalization of Coupled Integrable, Dispersionless System
• On Equations Gauge Equivalent to the Sine-Gordon and Pohlmeyer-Lund-Regge Equations
• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT
• An algebraic method to construct the Darboux matrix
• Discrete analogues of the generalized coupled integrable dispersionless equations

This page was built for publication: A discrete generalized coupled dispersionless integrable system and its multisoliton solutions