Periodic waves of a discrete higher order nonlinear Schroedinger equation

Details Periodic waves of a discrete higher order nonlinear Schroedinger equation Periodic waves of a discrete higher order nonlinear Schroedinger equation

2006-04-05

arxiv.org/abs/nlin/0604010v1

Nonlinear Sciences

Pattern Formation and Solitons

10 pages, 0 figure, to appear, Communications in theoretical physics

Scientific paper

The Hirota equation is a higher order extension of the nonlinear Schroedinger equation by incorporating third order dispersion and one form of self steepening effect. New periodic waves for the discrete Hirota equation are given in terms of elliptic functions. The continuum limit converges to the analogous result for the continuous Hirota equation, while the long wave limit of these discrete periodic patterns reproduces the known result of the integrable Ablowitz-Ladik system.

Affiliated with

Also associated with

No associations

Rating

Periodic waves of a discrete higher order nonlinear Schroedinger equation 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 Periodic waves of a discrete higher order nonlinear Schroedinger equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic waves of a discrete higher order nonlinear Schroedinger equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418870