Travelling-travelling and travelling-standing electromagnetic solitary waves interactions

We have investigated various interactions of electromagnetic solitary waves in a plasma. For co-propagating and counter-propagating moving solitons with various phase differences, contacts between the solitons were examined. It is shown that group velocities of the interacting solitons and their phase difference play essential roles in the evolutions of the waves. The interaction of a moving soliton with a standing soliton has also been investigated; it is shown that the standing solitons start to move, whereas the moving solitons go to a standing state. For small density perturbation in the plasma, the solutions of the nonlinear Schrodinger equations are discussed. Published by AIP Publishing.