QuasiPeriodic Solutions of the Coupled Nonlinear Schrodinger Equations
Abstract
We consider travelling periodic and quasiperiodic wave solutions of a set of coupled nonlinear Schrodinger equations. In fibre optics these equations can be used to model single mode fibres under the action of crossphase modulation, with weak birefringence. The problem is reduced to the `1:2:1' integrable case of the twoparticle quartic potential. A general approach for finding elliptic solutions is given. New solutions which are associated with twogap TreibichVerdier potentials are found. General quasiperiodic solutions are given in terms of two dimensional theta functions with explicit expressions for frequencies in terms of theta constants. The reduction of quasiperiodic solutions to elliptic functions is discussed.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 December 1995
 DOI:
 10.1098/rspa.1995.0149
 arXiv:
 arXiv:hepth/9410102
 Bibcode:
 1995RSPSA.451..685C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 24 pages