Annotation
Self-similar soliton-like solutions to a system of two nonlinear Schr$\stackrel{..}{o}$dinger-type equations (NSE) for various sets of coefficients have been studied theoretically and numerically. In the case of equality of the corresponding coefficients in the two equations of the system, a family of solitons of a new class with complex amplitude modulation has been found. The existence and uniqueness theorem for the NSE system has been proved and the related finite-difference scheme investigated.
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
A.P. Sukhorukov, D.V. Persheev
Department of Radiophysics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Department of Radiophysics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia