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Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
solitary waves nonlinear Dirac equation arbitrary nonlinearity
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2014/10/10
We consider the nonlinear Dirac equation in 1+1 dimension with scalar-scalar self interaction g 2κ +1 (ΨΨ)ˉ κ +1 and with mass m. Using the exact analytic form for rest frame solitary waves of the for...
Multi-hump solitary waves of nonlinear Dirac equation
Nonlinear Dirac equation Solitary wave
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2014/9/26
This paper concentrates on a (1+1)-dimensional nonlinear Dirac (NLD) equa-tion with a general self-interaction, being a linear combination of the scalar,
pseudoscalar, vector and axial vector self-in...
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
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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
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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...
New Solutions of the Einstein-Dirac Equation in Dimension n=3
Solutions the Einstein-Dirac Equation Dimension n=3
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2010/11/1
The aim of this short note is to announce the existence of a one-parameter family of left-invariant metrics on $S^3$ admitting WK-spinors. This family contains the two non-Einstein Sasakian metrics w...