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Browsing by Author "Lee, J. H."

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    Relativistic Dissipatons in Integrable Nonlinear Majorana Type Spinor Model
    (Yunnan University, 2022) Pashaev, Oktay; Lee, J. H.; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    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.