Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation
From MaRDI portal
Publication:6072605
DOI10.1016/j.wavemoti.2023.103139zbMath1524.35526MaRDI QIDQ6072605
Publication date: 13 October 2023
Published in: Wave Motion (Search for Journal in Brave)
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) Soliton equations (35Q51)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasi-periodic solutions to the hierarchy of four-component Toda lattices
- Discrete Hirota equation: discrete Darboux transformation and new discrete soliton solutions
- Darboux transformations and recursion operators for differential-difference equations
- Solitons in coupled Ablowitz-Ladik chains
- A self-adaptive moving mesh method for the Camassa-Holm equation
- Exact first-order solutions of the nonlinear Schrödinger equation
- \(N\)-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation
- Integrable semi-discrete Kundu-Eckhaus equation: Darboux transformation, breather, rogue wave and continuous limit theory
- The Bäcklund transformation and novel solutions for the Toda lattice
- \(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation
- Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit
- Modulational instability and higher order-rogue wave solutions for the generalized discrete Hirota equation
- Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation
- Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations
- A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions
- A Darboux transformation for the Volterra lattice equation
- Soliton solutions to an integrable coupled differential-difference equation
- Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
- A semi-discrete integrable multi-component coherently coupled nonlinear Schrödinger system
- Backlund transformations and explicit solutions of certain inhomogeneous nonlinear Schrodinger-type equations
- Some algebraic identities in anomalous gauge theories
- Discrete Jacobi sub-equation method for nonlinear differential-difference equations
- Nonlinear differential−difference equations
- Nonlinear differential–difference equations and Fourier analysis
- A Nonlinear Difference Scheme and Inverse Scattering
- The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
- Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation
- Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability
- Discrete rational and breather solution in the spatial discrete complex modified Korteweg-de Vries equation and continuous counterparts
- Algebro–geometric constructions of the discrete Ablowitz–Ladik flows and applications
- Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons
- General rogue waves in the focusing and defocusing Ablowitz–Ladik equations
- Integrable discretizations of the short pulse equation
- On the continuum limit for a semidiscrete Hirota equation
- Explicit solution and Darboux transformation for a new discrete integrable soliton hierarchy with 4×4 Lax pairs
- Darboux-Bäcklund transformation and explicit solutions to a hybrid lattice of the relativistic Toda lattice and the modified Toda lattice
- Soliton Solutions for Discrete Hirota Equation. II
This page was built for publication: Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation
