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Zbl 1074.35579
Porubov, A. V.; Parker, D. F.
Some general periodic solutions to coupled nonlinear Schrödinger equations. (English)
[J] Wave Motion 29, No. 2, 97-109 (1999). ISSN 0165-2125

Summary: Exact travelling wave periodic solutions of a pair of coupled nonlinear Schrödinger equations are obtained in terms of the Weierstrass elliptic Weierstrass $\wp$-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 2000:: *35Q55 NLS-like (nonlinear Schroedinger) equations
78A60 Lasers, etc.

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Zentralblatt MATH Berlin [Germany]