Collapse of solitary waves near transition from supercritical to subcritical bifurcations

Details Collapse of solitary waves near transition from supercritical to subcritical bifurcations Collapse of solitary waves near transition from supercritical to subcritical bifurcations

2008-05-12

arxiv.org/abs/0805.1620v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1134/S0021364008120047

We study both analytically and numerically the nonlinear stage of the instability of one-dimensional solitons in a small vicinity of the transition point from supercritical to subcritical bifurcations in the framework of the generalized nonlinear Schr\"{o}dinger equation. It is shown that near the collapsing time the pulse amplitude and its width demonstrate the self-similar behavior with a small asymmetry at the pulse tails due to self-steepening. This theory is applied to both solitary interfacial deep-water waves and envelope water waves with a finite depth and short optical pulses in fibers as well.

Affiliated with

Also associated with

No associations

Rating

Collapse of solitary waves near transition from supercritical to subcritical bifurcations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Collapse of solitary waves near transition from supercritical to subcritical bifurcations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collapse of solitary waves near transition from supercritical to subcritical bifurcations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-325229