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Title: Hirota bilinear method and relativistic dissipative soliton solutions in nonlinear spinor equations
Authors: Pashaev, Oktay
Keywords: Hirota’s method
Majorana spinor
Relativistic dissipaton solution
Soliton resonances
Asymptotic analysis
Issue Date: 2023
Publisher: Springer
Abstract: A new relativistic integrable nonlinear model for real, Majorana type spinor fields in 1+1 dimensions, gauge equivalent to Papanicolau spin model, defined on the one sheet hyperboloid is introduced. By using the double numbers, the model is represented as hyperbolic complex valued relativistic massive Thirring type model. By Hirota’s bilinear method, an exact one and two dissipative soliton solutions of this model are constructed. Calculation of first three integrals of motion for one dissipation solution shows that the last one represents a particle-like nonlinear excitation, with relativistic dispersion and highly nonlinear mass. A nontrivial solution of the system of algebraic equations, showing fusion and fission of relativistic dissipations is found. Asymptotic analysis of exact two dissipaton solution confirms resonant character of our dissipaton interactions. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
Description: 3rd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2022 -- 4 July 2022 through 7 July 2022
ISBN: 9783031216992
ISSN: 2194-1009
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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