<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Franz G. Mertens</style></author><author><style face="normal" font="default" size="100%">Fred Cooper</style></author><author><style face="normal" font="default" size="100%">Sihong Shao</style></author><author><style face="normal" font="default" size="100%">Niurka R. Quintero</style></author><author><style face="normal" font="default" size="100%">Avadh Saxena</style></author><author><style face="normal" font="default" size="100%">A. R. Bishop</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Nonlinear Dirac equation solitary waves under a spinor force with different components</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Physics A: Mathematical and Theoretical</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://doi.org/10.1088/1751-8121/aa5fb4</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">50</style></volume><pages><style face="normal" font="default" size="100%">145201</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">We consider the nonlinear Dirac equation in 1  +  1 dimension with scalar–scalar self-interaction in the presence of external forces as well as damping of the form ${{\gamma}^{0}}f(x,t)-\text{i}\mu {{\gamma}^{0}} \Psi $ , where both $f,\left\{\,{{f}_{j}}={{r}_{j}}{{\text{e}}^{\text{i}{{K}_{j}}x}}\right\}$ and $ \Psi $&amp;nbsp; are two-component spinors. We develop an approximate variational approach using collective coordinates 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 ${{K}_{1}}\ne {{K}_{2}}$&amp;nbsp; which dramatically modifies the behavior of the solitary wave in the presence of these external forces.</style></abstract><issue><style face="normal" font="default" size="100%">14</style></issue></record></records></xml>