Spinning Solitons of a Modified Non-Linear Schroedinger equation
Yves Brihaye (Universite de Mons, Belgium), Betti Hartmann (University, of Durham, UK), Wojtek J. Zakrzewski (University of Durham, UK)
TL;DR
This paper investigates spinning soliton solutions of a modified non-linear Schrödinger equation, constructing multi-node and spinning generalizations using an Ansatz inspired by spinning Q-balls, expanding understanding of complex soliton behaviors.
Contribution
It introduces new multi-node and spinning soliton solutions for the MNLS equation using an Ansatz similar to that used for spinning Q-balls, advancing soliton solution classifications.
Findings
Constructed multi-node soliton solutions.
Developed spinning generalizations of solitons.
Extended the solution space of the MNLS equation.
Abstract
We study soliton solutions of a modified non-linear Schroedinger (MNLS) equation. Using an Ansatz for the time and azimuthal angle dependence previously considered in the studies of the spinning Q-balls, we construct multi-node solutions of MNLS as well as spinning generalisations.
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