Dmitry E. Pelinovsky, Yusuke Shimabukuro
Published 2013-04-05Version 1
We prove $H^1$ 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 $H^1$ norm of the $L^2$-small solutions of the massive Thirring model.
$L^2$ orbital stability of Dirac solitons in the massive Thirring model
Inverse scattering for the massive Thirring model
Orbital Stability of Standing Waves for Fractional Hartree Equation with Unbounded Potentials
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