Journal article
Orbital Stability of Dirac Solitons
Abstract
We prove H1 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 H1 norm of the L2-small solutions of the massive Thirring model.
Authors
Pelinovsky DE; Shimabukuro Y
Journal
Letters in Mathematical Physics, Vol. 104, No. 1, pp. 21–41
Publisher
Springer Nature
Publication Date
January 2014
DOI
10.1007/s11005-013-0650-5
ISSN
0377-9017