\(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice system
From MaRDI portal
Publication:1991750
DOI10.1186/1687-1847-2014-213zbMath1417.37240OpenAlexW2140179502WikidataQ59323457 ScholiaQ59323457MaRDI QIDQ1991750
Publication date: 30 October 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2014-213
conservation lawssymbolic computation\(N\)-fold Darboux transformation\(N\)-soliton solutions in terms of determinantVolterra lattice system
Related Items (2)
Modulational instability and higher-order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers ⋮ Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Darboux transformation and explicit solutions for the derivative versions of Toda equation
- Darboux transformation of a coupled lattice soliton equation
- Soliton solutions by Darboux transformation for a Hamiltonian lattice system
- Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves
- A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies
- Darboux transformation and soliton solutions for Boussinesq-Burgers equation.
- Darboux transformation and multi-soliton solutions of Boussinesq-Burgers equation
- Classical \(r\)-matrix structures of integrable mappings related to the Volterra lattice
- Theory of nonlinear lattices.
- Canonical and Backlund transformations for discrete integrable systems and classical r-matrix
- The Bäcklund transformation and novel solutions for the Toda lattice
- Multi-component Volterra and Toda type integrable equations
- \(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves
- Explicit \(N\)-fold Darboux transformation and multi-soliton solutions for the \((1 + 1)\)-dimensional higher-order Broer-Kaup system
- Reductions of the Volterra lattice
- New hierarchies of integrable positive and negative lattice models and Darboux transformation
- Variational solutions for the discrete nonlinear Schrödinger equation
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Nonlinear-Evolution Equations of Physical Significance
- Darboux Transformation and Explicit Solutions for Discretized Modified Korteweg-de Vries Lattice Equation
- Vadermonde-Type Odd-Soliton Solutions for the Whitham–Broer–Kaup Model in the Shallow Water Small-Amplitude Regime
- Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
- Nonlinear differential−difference equations
- A Nonlinear Difference Scheme and Inverse Scattering
- On the Solution of a Class of Nonlinear Partial Difference Equations
- A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
- Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
- A discrete variational identity on semi-direct sums of Lie algebras
- A trace identity and its applications to the theory of discrete integrable systems
- Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions
This page was built for publication: \(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice system