Drinfel'd-Sokolov construction and exact solutions of vector modified KdV hierarchy

DOI10.1016/j.nuclphysb.2020.114933zbMath1479.37070arXiv1910.00885OpenAlexW2977584428WikidataQ126315080 ScholiaQ126315080MaRDI QIDQ2230196

Panagiota Adamopoulou, Georgios Papamikos

Publication date: 17 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00885

zbMATH Keywords

modified KdV equationLax formalismDrinfel'd-Sokolov scheme

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (2)

The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra ⋮ Dressing for a Vector Modified KdV Hierarchy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces
• Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere
• Darboux-Bäcklund transformations, dressing \& impurities in multi-component NLS
• Interaction properties of complex modified Korteweg-de Vries (mKdV) solitons
• 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
• Generalized Drinfel'd-Sokolov hierarchies
• Jordan algebras and integrable systems
• Helical solitons in vector modified Korteweg-de Vries equations
• The design of conservative finite element discretisations for the vectorial modified KdV equation
• Generalized Drinfeld-Sokolov reductions and KdV type hierarchies
• Integrable systems in three-dimensional Riemannian geometry.
• The generalized Zakharov-Shabat system and the soliton perturbations
• Vector-matrix generalizations of classical integrable equations
• Dressing method for the vector sine-Gordon equation and its soliton interactions
• Hamiltonian flows of curves in \(G/\text{SO}(N)\) and vector soliton equations of mKdV and sine-Gordon type
• The Coupled Modified Korteweg-de Vries Equations
• Classification of integrable polynomial vector evolution equations
• New Integrable Equations of Nonlinear Schrodinger Type
• Generalised KdV and MKdV equations associated with symmetric spaces
• The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
• Evolution equations possessing infinitely many symmetries
• Soliton Solutions of a Coupled Modified KdV Equations
• On construction of recursion operators from Lax representation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Nonlinear Dynamics of Solitons for the Vector Modified Korteweg-de Vries Equation
• Exact envelope-soliton solutions of a nonlinear wave equation
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

This page was built for publication: Drinfel'd-Sokolov construction and exact solutions of vector modified KdV hierarchy