Multiple Solitary-waves Due to Second Harmonic Generation in Quadratic Media
نویسندگان
چکیده
A detailed mathematical analysis is undertaken of solitary wave solutions of a system of coupled NLS equations describing second harmonic generation in optical materials with (2) nonlinearity. The so called bright-bright case is studied exclusively. The system depends on a single dimension-less parameter which includes both wave and material properties. Using variational methods, the rst rigorous mathematical proof is given that at least one solitary wave exists for all positive. Recently bound states (multi-pulsed solitary waves) have been found numerically. Using numerical continuation, the region of existence of these solutions is revealed to be 2 (0; 1) and the bifurcations occuring at the two extremes of this interval are uncovered.
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