Algebraic solitons in the massive Thirring model
Abstract
We present exact solutions describing dynamics of two algebraic solitons in the massive Thirring model. Each algebraic soliton corresponds to a simple embedded eigenvalue in the Kaup-Newell spectral problem and attains the maximal mass among the family of solitary waves traveling with the same speed. By coalescence of speeds of the two algebraic solitons, we find a new solution for an algebraic double-soliton which corresponds to a double embedded eigenvalue. We show that the double-soliton attains the double mass of a single soliton and describes a slow interaction of two identical algebraic solitons.
- Publication:
-
Physical Review E
- Pub Date:
- September 2024
- DOI:
- 10.1103/PhysRevE.110.034202
- arXiv:
- arXiv:2406.06715
- Bibcode:
- 2024PhRvE.110c4202H
- Keywords:
-
- Nonlinear Dynamics and Chaos;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematical Physics;
- Mathematics - Analysis of PDEs;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- 18 pages