Passage of a wave pulse through a zero-dispersion point in the nonlinear Schrödinger equation (original) (raw)
1999
We consider, numerically and analytically, a wave pulse passing a point where the dispersion coefficient changes its sign from focusing to defocusing. Simulations demonstrate that, in the focusing region, the pulse keeps a soliton-like shape until it is close to the zero-dispersion point, but then, after the passage of this point, the pulse decays into radiation if its energy is
Related papers
Soliton formation from a pulse passing the zero-dispersion point in a nonlinear Schrodinger equation
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2000
We consider in detail the self-trapping of a soliton from a wave pulse that passes from a defocusing region into a focusing one in a spatially inhomogeneous nonlinear waveguide, described by a nonlinear Schrodinger equation in which the dispersion coefficient changes its sign from normal to anomalous. The model has direct applications to dispersion-decreasing nonlinear optical fibers, and to natural waveguides for internal waves in the ocean. It is found that, depending on the (conserved) energy and (nonconserved) "mass" of the initial pulse, four qualitatively different outcomes of the pulse transformation are possible: decay into radiation; self-trapping into a single soliton; formation of a breather; and formation of a pair of counterpropagating solitons. A corresponding chart is drawn on a parametric plane, which demonstrates some unexpected features. In particular, it is found that any kind of soliton(s) (including the breather and counterpropagating pair) eventually ...
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.