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Title: Relativistic dissipatons in integrable nonlinear Majorana type spinor model
Authors: Pashaev, Oktay
Lee, J. H.
Keywords: Thirring model
JT gravity
Dissipative soliton
Hirota method
Relativistic particle
Double numbers
Schrodinger equation
Soliton resonances
Issue Date: 2022
Publisher: Yunnan University
Abstract: By method of moving frame, the relativistic integrable nonlinear model for real, Majorana type spinor fields in 1+1 dimensions is introduced and gauge equivalence of this model with Papanicolau spin model on one sheet hyperboloid is established. In terms of the so called double numbers, the model is represented also as hyperbolic complex relativistic model, in the form similar to the massive Thirring model. By using Hirota's bilinear method, the one dissipaton solution of this model is constructed. We calculate first integrals of motion for this dissipaton and show that it represents a relativistic particle with highly nonlinear mass. Analyzing resonance conditions for scattering of two relativistic dissipatons, we find a solution describing resonant property of the dissipatons.
ISSN: 0129-2021
Appears in Collections:Mathematics / Matematik
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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