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Darboux transformation for a semi-discrete matrix coupled dispersionless system - MaRDI portal

Darboux transformation for a semi-discrete matrix coupled dispersionless system (Q6592458)

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scientific article; zbMATH DE number 7901107

Language	Label	Description	Also known as
English	Darboux transformation for a semi-discrete matrix coupled dispersionless system	scientific article; zbMATH DE number 7901107

Statements

scholarly article

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Darboux transformation for a semi-discrete matrix coupled dispersionless system (English)

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Applied Mathematics Letters

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publication date

26 August 2024

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zbMATH Keywords

discrete integrable systems

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Darboux transformation

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soliton solutions

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MaRDI profile type

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Discrete solitons for periodic discrete nonlinear Schrödinger equations

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Neural networks enforcing physical symmetries in nonlinear dynamical lattices: the case example of the Ablowitz-Ladik model

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Soliton solutions of integrable hierarchies and Coulomb plasmas

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Hirota's method and the search for integrable partial difference equations. 1. Equations on a 3 × 3 stencil

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Integrable discretization and numerical simulation for the Ito equation

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Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons

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Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions

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Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras

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On integrability of a noncommutative \(q\)-difference two-dimensional Toda lattice equation

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Darboux transformation and exact multisolitons for a matrix coupled dispersionless system

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Integrable semi-discrete Kundu-Eckhaus equation: Darboux transformation, breather, rogue wave and continuous limit theory

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Spatially discrete Boussinesq equation: integrability, Darboux transformation, exact solutions and continuum limit

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Dispersionless Toda hierarchy and two-dimensional string theory

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Solution of the dispersionless Hirota equations

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An interpolating dispersionless integrable system

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A Generalization of Coupled Integrable, Dispersionless System

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GBDT version of the Darboux transformation for the matrix coupled dispersionless equations (local and non-local cases)

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Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system

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Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation

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Integrable discretizations of AB system and multi-soliton solutions

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An integrable noncommutative generalization of the AB system and its multisoliton solutions

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Identifiers

10.1016/j.aml.2024.109217

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6592458

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