Evolution equations for pulse propagation in nonlinear media

Details Evolution equations for pulse propagation in nonlinear media Evolution equations for pulse propagation in nonlinear media

2009-06-27

arxiv.org/abs/0906.5054v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, no figure

Scientific paper

We show that the complex modified KdV (cmKdV) equation and generalized nonlinear Schr\"odinger (GNLS) equation belong to the Ablowitz, Kaup, Newell and Segur or so-called AKNS hierarchy. Both equations do not follow from the action principle and are nonintegrable. By introducing some auxiliary fields we obtain the variational principle for them and study their canonical structures. We make use of a coupled amplitude-phase method to solve the equations analytically and derive conditions under which they can support bright and dark solitary wave solutions.

Affiliated with

Also associated with

No associations

Rating

Evolution equations for pulse propagation in nonlinear media 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 Evolution equations for pulse propagation in nonlinear media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Evolution equations for pulse propagation in nonlinear media will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-306167