Moduli spaces for PT-regularized solitons

@article{Correa2022ModuliSF,
title={Moduli spaces for PT-regularized solitons},
author={Francisco Correa and Andreas Fring and Takanobu Taira},
journal={Journal of High Energy Physics},
year={2022},
volume={2022}
}
• Published 5 August 2022
• Mathematics, Physics
• Journal of High Energy Physics
We construct and analyse the moduli space (collective coordinates) for a classical field theory in 1 + 1 dimensions that possesses complex stable multi-soliton solutions with real energies when PT-regularized. For the integrable Bullough-Dodd model we show, by comparing with the exact solutions, that a one-dimensional moduli space captures well the main feature of the centre of mass motion of the one and two-soliton solutions. We demonstrate that even the time-delay and spatial displacements…

References

SHOWING 1-10 OF 38 REFERENCES

• Mathematics
Journal of Physics A: Mathematical and Theoretical
• 2020
Following a generic approach that leads to Bogomolny–Prasad–Sommerfield (BPS) soliton solutions by imposing self-duality, we investigate three different types of non-Hermitian field theories. We
• Physics
Journal of Mathematical Physics
• 2017
We compute lateral displacements and time-delays for a scattering processes of complex multi-soliton solutions of the Korteweg de-Vries equation.The resulting expressions are employed to explain the
• Mathematics
• 2016
A bstractWe report complex PT$$\mathcal{P}\mathcal{T}$$-symmetric multi-soliton solutions to the Korteweg de-Vries equation that asymptotically contain one-soliton solutions, with each of them
• Mathematics, Physics
Journal of Physics A: Mathematical and Theoretical
• 2016
Using Hirota’s direct method and Bäcklund transformations we construct explicit complex one and two-soliton solutions to the complex Korteweg–de Vries (KdV) equation, the complex modified KdV (mKdV)
• Physics, Mathematics
• 1989
A detailed survey of the technique of perturbation theory for nearly integrable systems, based upon the inverse scattering transform, and a minute account of results obtained by means of that
• Mathematics
• 2009
We provide a novel procedure to obtain complex -symmetric multi-particle Calogero systems. Instead of extending or deforming real Calogero systems, we explore here the possibilities for complex