On the Kinetic Properties of Solitons in Nonlinear Schr\"{o}dinger Equation
I.V. Baryakhtar
TL;DR
This paper develops a kinetic equation for solitons in the nonlinear Schrödinger equation based on two-soliton collision analysis, with potential applications in plasma physics and optical fibers.
Contribution
It introduces a Boltzmann-type kinetic framework for solitons derived from collision analysis, advancing theoretical understanding of soliton dynamics.
Findings
Kinetic equation for solitons formulated
Analysis of two-soliton collisions conducted
Potential applications in plasma and optics discussed
Abstract
The Boltzmann type kinetic equation for solitons in Nonlinear Schr\"{o}dinger equation has been constructed on the base of analysis of two soliton collision. Possible applications for Langmuir solitons in plasma and solitons in optic fiber are discussed.
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Taxonomy
TopicsNumerical methods for differential equations · Advanced Mathematical Physics Problems · Nonlinear Photonic Systems