ar X iv : s ol v - in t / 9 90 40 17 v 1 1 6 A pr 1 99 9 QUASI - PERIODIC AND PERIODIC SOLUTIONS FOR SYSTEMS OF COUPLED NONLINEAR SCHRÖDINGER EQUATIONS
نویسندگان
چکیده
We consider travelling periodic and quasi-periodic wave solutions of a set of coupled nonlinear Schrödinger equations. In fibre optics these equations can be used to model single mode fibers with strong birefingence and two-mode optical fibers. Recently these equations appear as model, which describe pulse-pulse interaction in wavelength-division-multiplexed channels of optical fiber transmission systems. Two phase quasi-periodic solutions for in-tegrable Manakov system are given in terms of two dimensional Kleinian functions. The reduction of quasi-periodic solutions to elliptic functions is discussed. New solutions in terms generalized Hermite polynomials, which are associated with two-gap Treibich-Verider potentials are found.
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