Quadratic solitons as nonlocal solitons

Details Quadratic solitons as nonlocal solitons Quadratic solitons as nonlocal solitons

2003-03-04

arxiv.org/abs/nlin/0303003v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.68.036614

We show that quadratic solitons are equivalent to solitons of a nonlocal Kerr
medium. This provides new physical insight into the properties of quadratic
solitons, often believed to be equivalent to solitons of an effective saturable
Kerr medium. The nonlocal analogy also allows for novel analytical solutions
and the prediction of novel bound states of quadratic solitons.

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