Maxwell's solitary waves: optical video solitons and wave second harmonics solitons

The modified computer code of direct numerical integration of a system of nonlinear Maxwell's equations were used to investigate the dynamics of generation and interaction of Maxwell's wave solitons of a few femtosecond duration. Computer experiments predict the possibility of generation of the one period and the `stopping' video soliton pulses. The problem of the second harmonic Maxwell's solitons generation is also investigated. If the second-order nonlinearity is so great that the nonlinear length and phase mismatch caused by natural dispersion of the nonlinear medium are the same orders, than a special choice of the phase matching conditions becomes redundant. In this case generation of the higher harmonics does not depend on the phase matching conditions. Our computer experiments predict the new soliton surfing effect, the second harmonic wave Maxwell's solitary pulses are generated at the fronts of the pumping femtosecond pulse. Dynamics of high harmonics generation induced by one period soliton pulse is also calculated.

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