Nonlinear Discrete Systems with Nonanalytic Dispersion Relations

Details Nonlinear Discrete Systems with Nonanalytic Dispersion Relations Nonlinear Discrete Systems with Nonanalytic Dispersion Relations

1996-01-31

arxiv.org/abs/solv-int/9601005v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

RevTex file, to appear in Journ. Math. Phys

Scientific paper

10.1063/1.531542

A discrete system of coupled waves (with nonanalytic dispersion relation) is derived in the context of the spectral transform theory for the Ablowitz Ladik spectral problem (discrete version of the Zakharov-Shabat system). This 3-wave evolution problem is a discrete version of the stimulated Raman scattering equations, and it is shown to be solvable for arbitrary boundary value of the two radiation fields and initial value of the medium state. The spectral transform is constructed on the basis of the D-bar approach.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Discrete Systems with Nonanalytic Dispersion Relations 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 Nonlinear Discrete Systems with Nonanalytic Dispersion Relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Discrete Systems with Nonanalytic Dispersion Relations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-277354