# Relativistic dissipatons in integrable nonlinear Majorana type spinor model

@inproceedings{Pashaev2022RelativisticDI, title={Relativistic dissipatons in integrable nonlinear Majorana type spinor model}, author={Oktay K. Pashaev and Jyh-Hao Lee}, year={2022} }

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 bilinear method, one dissipaton solution of this model is constructed…

## One Citation

### Hirota Bilinear Method and Relativistic Dissipative Soliton Solutions in Nonlinear Spinor Equations

- Physics
- 2022

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…

## References

SHOWING 1-10 OF 58 REFERENCES

### Integrable dissipative structures in the gauge theory of gravity

- Physics
- 1997

The Jackiw - Teitelboim gauge formulation of (1 + 1)-dimensional gravity allows us to relate different gauge-fixing conditions to integrable hierarchies of evolution equations. We show that the…

### Bilinearization of multidimensional topological magnets

- Physics
- 1994

A classical magnetic model with compact su(2) and non-compact su(1,1) spin phase space admitting the Hirota bilinear form is presented in an arbitrary number of space dimensions. The essential point…

### The classical Korteweg capillarity system: geometry and invariant transformations

- Mathematics
- 2014

A class of invariant transformations is presented for the classical Korteweg capillarity system. The invariance is an extension of a kind originally introduced in an anisentropic gasdynamics context.…

### Black holes and solitons of the quantized dispersionless NLS and DNLS equations

- PhysicsThe ANZIAM Journal
- 2002

Abstract The classical dynamics of non-relativistic particles are described by the Schrödinger wave equation, perturbed by quantum potential nonlinearity. Quantization of this dispersionless…

### Solvability of the derivative nonlinear Schrödinger equation and the massive thirring model

- Mathematics
- 1994

Here we review some results of J.-H. Lee of theN×N Zakharov-Shabat system with a polynomial spectral parameter. We define a scattering transform following the set-up of Beals-Coifman [2]. In the 2×2…

### Resonant dispersive Benney and Broer-Kaup systems in 2+1 dimensions

- Physics, Mathematics
- 2014

We represent the Benney system of dispersionless hydrodynamic equations as NLS type infinite system of equations with quantum potential. We show that negative dispersive deformation of this system is…

### Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method

- Mathematics, Physics
- 2007

We use the Hirota bilinear approach to consider physically relevant soliton solutions of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions, recently proposed for…

### Soliton gas in integrable dispersive hydrodynamics

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2021

We review the spectral theory of soliton gases in integrable dispersive hydrodynamic systems. We first present a phenomenological approach based on the consideration of phase shifts in pairwise…