Multiple-humped bright solitary waves in second-order nonlinear media

Dumitru Mihalache; Falk L. Lederer; Dumitru Mazilu; Lucian-Cornel Crasovan

doi:10.1117/1.600729

1 June 1996 Multiple-humped bright solitary waves in second-order nonlinear media

Dumitru Mihalache, Falk L. Lederer, Dumitru Mazilu, Lucian-Cornel Crasovan

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Optical Engineering, Vol. 35, Issue 6, (June 1996). https://doi.org/10.1117/1.600729

The propagation of multiple-humped bright solitary waves in a diffractive medium with second-order nonlinearity is studied. It is shown that the multiple-humped bright solitary waves occur only for negative phase mismatches in a small interval of nonlinear wave numbers shifts and above a certain threshold energy flow. Numerical experiments reveal that the multiple-humped stationary solitary waves are unstable on propagation. The evolution of multiple-humped solitary waves shows that the instability leads to one of the following three scenarios of the solitary wave dynamics: (1) the spreading of the solitary wave, (2) the formation of a single-humped solitary wave from a multiple-humped solitary wave in a fusion-like process, and (3) the decay of the multiple-humped solitary waves into several fragments consisting of single-humped solitary waves.

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Dumitru Mihalache, Falk L. Lederer, Dumitru Mazilu, and Lucian-Cornel Crasovan "Multiple-humped bright solitary waves in second-order nonlinear media," Optical Engineering 35(6), (1 June 1996). https://doi.org/10.1117/1.600729

Published: 1 June 1996

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