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

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Abstract
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. © 1996 Society of Photo−Optical Instrumentation Engineers.

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