Weakly non-linear dynamics in reaction -- diffusion systems with Lévy flights

Details Weakly non-linear dynamics in reaction -- diffusion systems with Lévy flights Weakly non-linear dynamics in reaction -- diffusion systems with Lévy flights

2007-12-25

arxiv.org/abs/0712.4058v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1088/0031-8949/2008/T132/0140

Reaction--diffusion equations with a fractional Laplacian are reduced near a long wave Hopf bifurcation. The obtained amplitude equation is shown to be the complex Ginzburg-Landau equation with a fractional Laplacian. Some of the properties of the normal complex Ginzburg-Landau equation are generalised for the fractional analogue. In particular, an analogue of Kuramoto-Sivashinsky equation is derived.

Affiliated with

Also associated with

No associations

Rating

Weakly non-linear dynamics in reaction -- diffusion systems with Lévy flights 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 Weakly non-linear dynamics in reaction -- diffusion systems with Lévy flights, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weakly non-linear dynamics in reaction -- diffusion systems with Lévy flights will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-184904