Hirota-Satsuma dynamics as a non-relativistic limit of KdV equations

DOI10.1016/j.physleta.2020.126389zbMath1448.35452arXiv2002.04835OpenAlexW3010615503MaRDI QIDQ2213138

Blagoje Oblak

Publication date: 30 November 2020

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04835

zbMATH Keywords

KdV equationInonu-Wigner contractionBMS symmetryHirota-Satsuma dynamicsLie-Poisson equations

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)

Cites Work

• Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence
• Integrable systems with \(\mathrm{BMS}_{3}\) Poisson structure and the dynamics of locally flat spacetimes
• Notes on the BMS group in three dimensions. II: Coadjoint representation
• Euler equations on homogeneous spaces and Virasoro orbits
• Aspects of the BMS/CFT correspondence
• Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Coupled KdV Equations of Hirota-Satsuma Type
• Thomas precession for dressed particles
• BMS Particles in Three Dimensions

This page was built for publication: Hirota-Satsuma dynamics as a non-relativistic limit of KdV equations