Orbital stability of Dirac solitons
Analysis of PDEs
2015-06-15 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We prove orbital stability of Dirac solitons in the integrable massive Thirring model by working with an additional conserved quantity which complements Hamiltonian, momentum and charge functionals of the general nonlinear Dirac equations. We also derive a global bound on the norm of the -small solutions of the massive Thirring model.
Cite
@article{arxiv.1304.1748,
title = {Orbital stability of Dirac solitons},
author = {Dmitry E. Pelinovsky and Yusuke Shimabukuro},
journal= {arXiv preprint arXiv:1304.1748},
year = {2015}
}
Comments
18 pages