Hamiltonian approach to the soliton-soliton interaction and for a classical solitonic gas

DOI10.1016/j.physleta.2022.127967zbMath1485.81030OpenAlexW4210814967WikidataQ114141693 ScholiaQ114141693MaRDI QIDQ2074552

Luzmila A. Quispe-Flores, Deterlino Urzagasti

Publication date: 10 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2022.127967

zbMATH Keywords

Hamiltonian formalismnonlinear dynamicssolitonsstatistical mechanicssoliton interaction

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Celestial mechanics (70F15) Statistical mechanics of gases (82D05) Soliton solutions (35C08)

Cites Work

• Soliton-antisoliton interaction in a parametrically driven easy-plane magnetic wire
• Localized states and non-variational Ising-Bloch transition of a parametrically driven easy-plane ferromagnetic wire
• Solitons and the Korteweg-de Vries equation: Integrable systems in 1834--1995
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Soliton pair interaction law in parametrically driven Newtonian fluid
• Traveling Solitons in the Damped-Driven Nonlinear Schrödinger Equation

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