Exact solitary wave solutions of the nonlinear Schrödinger equation with a source

Details Exact solitary wave solutions of the nonlinear Schrödinger equation with a source Exact solitary wave solutions of the nonlinear Schrödinger equation with a source

2003-08-08

arxiv.org/abs/nlin/0308012v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Presentation of the paper changed for better clarity of the results. References added

Scientific paper

We use a fractional transformation to connect the traveling wave solutions of the nonlinear Schr\"odinger equation (NLSE), phase-locked with a source, to the elliptic functions satisfying, $f^{\prime\prime}\pm af\pm \lambda f^{3}=0$. The solutions are {\it necessarily} of the rational form, containing both trigonometric and hyperbolic types as special cases. Bright, and dark solitons, respectively, for attractive and repuslive type of nonlinearities, as also singular solitons, are obtained in suitable range of parameter values.

Affiliated with

Also associated with

No associations

Rating

Exact solitary wave solutions of the nonlinear Schrödinger equation with a source 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 Exact solitary wave solutions of the nonlinear Schrödinger equation with a source, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact solitary wave solutions of the nonlinear Schrödinger equation with a source will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-616750