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On the meaning of the Vakhitov-Kolokolov stability criterion for the nonlinear Dirac equation
the Vakhitov-Kolokolov stability criterion the nonlinear Dirac equation Analysis of PDEs
2011/8/31
Abstract: We consider the spectral stability of solitary wave solutions \phi(x)e^{-i\omega t} to the nonlinear Dirac equation in any dimension. This equation is well-known to theoretical physicists as...
Scattering of Solitons for Dirac Equation Coupled to a Particle
Scattering of Solitons Dirac Equation Coupled Particle
2011/1/21
We establish soliton-like asymptotics for finite energy solutions to the Dirac equation coupled to a relativistic particle. Any solution with initial state close to the solitary manifold, converges in...