Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit

DOI10.1016/j.cnsns.2021.106239OpenAlexW4205158456MaRDI QIDQ2076264

Li-Yuan Ma, Hai-Qiong Zhao, Yan-Li Zhang, Zuo-nong Zhu

Publication date: 16 February 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106239

zbMATH Keywords

gauge equivalencebreather solutionrogue wavediscrete Hirota equationcontinuous limit

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Related Items

Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation ⋮ Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation ⋮ Continuum limits for rational, breather solutions, and gauge equivalent model of the generalized discrete nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• A note on the NLS and the Schrödinger flow of maps
• On the gauge equivalent structure of the discrete nonlinear Schrödinger equation
• Integrability and gauge equivalence of the reverse space-time nonlocal Sasa-Satsuma equation
• Some algebraic identities in anomalous gauge theories
• Discretised Hirota equation, equivalent spin chain and Backlund transformations
• Equivalent Forms of a Generalized Hirota's Equation with Linear Inhomogeneities
• The gauge equivalence of the Davey-Stewartson equation and (2+1)-dimensional continuous Heisenberg ferromagnetic model
• Gauge equivalence of sigma models with non-compact Grassmannian manifolds
• Nonlinear differential–difference equations and Fourier analysis
• On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations
• Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation
• General rogue waves in the focusing and defocusing Ablowitz–Ladik equations
• On the continuum limit for a semidiscrete Hirota equation
• Exact envelope-soliton solutions of a nonlinear wave equation
• Soliton Solutions for Discrete Hirota Equation. II

This page was built for publication: Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit