Complex Toda lattice and its application to the theory of interacting optical solitons

摘要

A class of linear and nonlinear dynamical problems that arise when studying the modulation of trains of nearly identical soliton pulses of the nonlinear Schroedinger equation is introduced. In the simplest case the dynamics of the nonlinear Schroedinger equation can be reduced to an equation that is a complex extension of the integrable Toda lattice equation, so that the latter asymptotically models the former in the case of large intersoliton separations. # 1998 Optical Society of America [S0740-3232(98)02405-3] OCIS codes: 190.5530,060.5530.