Discrete Hirota equation: discrete Darboux transformation and new discrete soliton solutions

DOI10.1007/s11071-016-2614-7zbMath1355.37085OpenAlexW2308444333MaRDI QIDQ333146

Rui Guo, Xiao-Juan Zhao

Publication date: 9 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2614-7

zbMATH Keywords

solitondiscrete Darboux transformationdiscrete Hirota equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Partial difference equations (39A14)

Related Items (7)

\(N\)-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation ⋮ Integrability, multi-soliton and rational solutions, and dynamical analysis for a relativistic Toda lattice system with one perturbation parameter ⋮ Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation ⋮ Modulational instability and higher order-rogue wave solutions for the generalized discrete Hirota equation ⋮ Discrete soliton solutions for a generalized discrete nonlinear Schrödinger equation with variable coefficients via discrete \(N\)-fold Darboux transformation ⋮ Soliton elastic interactions and dynamical analysis of a reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon ⋮ Talbot carpets by rogue waves of extended nonlinear Schrödinger equations

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