Exact traveling-wave solutions for optical models based on the nonlinear cubic-quintic Schrodinger equation
- 1 September 1989
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 6 (9) , 1477-1483
- https://doi.org/10.1364/josaa.6.001477
Abstract
We present a large set of exact analytic traveling-wave solutions for the equation iut + uxx = a1u|u|2 + a2u|u|4 that can be of interest in higher-order nonlinear-optical media. This set includes all bright and dark solitary waves as well as periodic ones. Our procedure consists of direct integration; it is then purely algebraic and simple. Solutions are given in simple forms and tabulated.Keywords
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