NLS-type equations from quadratic pencil of Lax operators: negative flows
DOI10.1016/j.chaos.2022.112299zbMath1504.35484arXiv2301.07225OpenAlexW4283072006WikidataQ114199079 ScholiaQ114199079MaRDI QIDQ2112876
Publication date: 12 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.07225
Hermitian symmetric spacesderivative nonlinear Schrödinger equationsimple Lie algebranonlocal integrable equationsbi-Hamiltonian integrable systems
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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Mikhailov's reduction group
- Multi-component NLS models on symmetric spaces: spectral properties versus representations theory
- Solutions of multi-component NLS models and spinor Bose-Einstein condensates
- Multicomponent NLS-type equations on symmetric spaces and their reductions
- On the dressing method for the generalised Zakharov-Shabat system
- On a class of physically important integrable equations
- The reduction problem and the inverse scattering method
- Nonlinear Schrödinger equations and simple Lie algebras
- Lie algebras and equations of Korteweg-de Vries type
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Quadratic bundle and nonlinear equations
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- On generating functions in the AKNS hierarchy
- On integrable wave interactions and Lax pairs on symmetric spaces
- Camassa-Holm cuspons, solitons and their interactions via the dressing method
- On the quadratic bundles related to Hermitian symmetric spaces
- Dressing Method for the Degasperis-Procesi Equation
- Inverse scattering transform for the Degasperis–Procesi equation
- On negative flows of the AKNS hierarchy and a class of deformations of a bihamiltonian structure of hydrodynamic type
- Long-time Solutions of the Ostrovsky Equation
- Derivative nonlinear Schrodinger equations and Hermitian symmetric spaces
- Generalised Fourier transforms for the soliton equations. Gauge-covariant formulation
- Generalised KdV and MKdV equations associated with symmetric spaces
- Prolongation structures of a higher-order nonlinear Schrodinger equation
- An exact solution for a derivative nonlinear Schrödinger equation
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- An integrable shallow water equation with peaked solitons
- G -Strands on symmetric spaces
- Multicomponent Fokas–Lenells equations on Hermitian symmetric spaces
- Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure
- On a novel integrable generalization of the nonlinear Schrödinger equation
- Exact envelope-soliton solutions of a nonlinear wave equation
- Integrable Hamiltonian hierarchies. Spectral and geometric methods