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Some general periodic solutions to coupled nonlinear Schrödinger equations. (English) Zbl 1074.35579
Summary: Exact travelling wave periodic solutions of a pair of coupled nonlinear Schrödinger equations are obtained in terms of the Weierstrass elliptic Weierstrass -function. These solutions which are of one and the same functional form describe, in particular, two novel classes of bounded periodic and solitary wave solutions of considerable physical interest, while previously known bounded periodic and solitary wave solutions turn out to be just special cases of them.
MSC:
35Q55NLS-like (nonlinear Schrödinger) equations
78A60Lasers, masers, optical bistability, nonlinear optics
Software:
Mathematica