A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions
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Publication:2244806
DOI10.1016/j.wavemoti.2021.102727OpenAlexW3139149665WikidataQ114124099 ScholiaQ114124099MaRDI QIDQ2244806
Publication date: 12 November 2021
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2021.102727
Related Items (2)
\(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation ⋮ Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation
Cites Work
- N-fold Darboux transformation and soliton solutions for Toda lattice equation
- Darboux transformations and recursion operators for differential-difference equations
- The Darboux transformation associated with two-parameter lattice soliton equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Integrable semi-discrete Kundu-Eckhaus equation: Darboux transformation, breather, rogue wave and continuous limit theory
- \(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation
- Exotic localized vector waves in a two-component nonlinear wave system
- A vector general nonlinear Schrödinger equation with \((m+n)\) components
- Rogue periodic waves of the sine-Gordon equation
- A hierarchy of integrable differential-difference equations and Darboux transformation
- Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation
- A new lattice hierarchy: Hamiltonian structures, symplectic map and \(N\)-fold Darboux transformation
- Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions
- New lattice equation hierarchies and Darboux transformation
- Variational solutions for the discrete nonlinear Schrödinger equation
- Analytical Bethe ansatz, canonical Bäcklund transformation and \(Q\)-operator for a new discrete integrable hierarchy
- A generalized complex mKdV equation: Darboux transformations and explicit solutions
- Nonlinear differential−difference equations
- A Nonlinear Difference Scheme and Inverse Scattering
- A new hierarchy of integrable differential-difference equations and Darboux transformation
- A novel hierarchy of integrable lattices
- R-matrix approach to lattice integrable systems
- A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
- Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
- Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
- N-SOLITON SOLUTIONS AND CONSERVATION LAWS OF THE MODIFIED TODA LATTICE EQUATION
- On a vector long wave‐short wave‐type model
- DARBOUX TRANSFORMATION OF THE MODIFIED TODA LATTICE EQUATION
- Mukherjee–Choudhury–Chowdhury spectral problem and the semi-discrete integrable system
- A trace identity and its applications to the theory of discrete integrable systems
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