2016/11/13 by Franz G. Mertens, Fred Cooper, Sihong Shao +3
Physics and Astronomy · #nlin.PS
paper · pdf · doi:10.1088/1751-8121/aa5fb4
17 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1502.08006
arxiv created 2016/11/13 · arxiv updated 2017/04/05
We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar self-interaction in the presence of external forces as well as damping of the form γ0 f(x,t) - i μγ0 Ψ, where both f, \fj = ri ei Kj x \ and Ψ are two-component spinors. We develop an approximate variational approach using collective coordinates (CC) for studying the time dependent response of the solitary waves to these external forces. In our previous paper we assumed Kj=K, ~ j=1,2 which allowed a transformation to a simplifying coordinate system, and we also assumed the "small" component of the external force was zero. Here we include the effects of the small component and also the case K1 ≠ K2 which dramatically modifies the behavior of the solitary wave in the presence of these external forces.