Weyl functions, inverse problem and special solutions for the system auxiliary to the nonlinear optics equation

Details Weyl functions, inverse problem and special solutions for the system auxiliary to the nonlinear optics equation Weyl functions, inverse problem and special solutions for the system auxiliary to the nonlinear optics equation

2007-08-08

arxiv.org/abs/0708.1112v1

Inverse Problems 24 (2008) 025026

Physics

Mathematical Physics

Scientific paper

10.1088/0266-5611/24/2/025026

A Borg-Marchenko type uniqueness theorem (in terms of the Weyl function) is obtained here for the system auxiliary to the N-wave equation. A procedure to solve inverse problem is used for this purpose. The asymptotic condition on the Weyl function, under which the inverse problem is uniquely solvable, is completed by the new and simple sufficient condition on the potential, granting the fulfillment of this asymptotic condition. The evolution of the Weyl function is discussed and the solution of an initial-boundary value problem for the N-wave equation follows. Explicit solutions of the system are obtained. System with a shifted argument is treated.

Affiliated with

Also associated with

No associations

Rating

Weyl functions, inverse problem and special solutions for the system auxiliary to the nonlinear optics 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 Weyl functions, inverse problem and special solutions for the system auxiliary to the nonlinear optics equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weyl functions, inverse problem and special solutions for the system auxiliary to the nonlinear optics equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-215723