Stability criterion for bright solitary waves of the perturbed cubic-quintic Schroedinger equation

Details Stability criterion for bright solitary waves of the perturbed cubic-quintic Schroedinger equation Stability criterion for bright solitary waves of the perturbed cubic-quintic Schroedinger equation

1997-01-23

arxiv.org/abs/patt-sol/9701011v1

Nonlinear Sciences

Pattern Formation and Solitons

28 pages, LaTeX, submitted; author info at http://www.math.unm.edu/~kapitula

Scientific paper

10.1016/S0167-2789(97)00245-5

The stability of the bright solitary wave solution to the perturbed cubic-quintic Schroedinger equation is considered. It is shown that in a certain region of parameter space these solutions are unstable, with the instability being manifested as a small positive eigenvalue. Furthermore, it is shown that in the complimentary region of parameter space there are no small unstable eigenvalues. The proof involves a novel calculation of the Evans function, which is of interest in its own right. As a consequence of the eigenvalue calculation, it is additionally shown that N-bump bright solitary waves bifurcate from the primary wave.

Affiliated with

Also associated with

No associations

Rating

Stability criterion for bright solitary waves of the perturbed cubic-quintic 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 Stability criterion for bright solitary waves of the perturbed cubic-quintic Schroedinger equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability criterion for bright solitary waves of the perturbed cubic-quintic Schroedinger equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88260