Cole-Hopf Like Transformation for a Class of Coupled Nonlinear Schroedinger Equations

Details Cole-Hopf Like Transformation for a Class of Coupled Nonlinear Schroedinger Equations Cole-Hopf Like Transformation for a Class of Coupled Nonlinear Schroedinger Equations

2002-10-02

arxiv.org/abs/quant-ph/0210016v1

Rep. Math. Phys. 49, 203 (2002)

Physics

Quantum Physics

4pages, two columns, RevTeX4, no figures

Scientific paper

10.1016/S0034-4877(02)80019-2

In this paper we consider a class of coupled nonlinear Schroedinger equations for the fields $\psi_i$ containing complex nonlinearities, that has been obtained by requiring that the norms $|\psi_i|^2$ are conserved densities. For this class of equations we introduce a Cole-Hopf like transformation, whose effect is to reduce the complex nonlinearities into real ones, this way reducing the continuity equations of the system to the standard bilinear form. Some examples are presented to illustrate the applicability of the method. Pacs numbers: 03.50.-z, 03.65.-w, 11.30.Na, 11.40.Dw Keywords: Coupled nonlinear Schroedinger equations, Cole-Hopf transformation, Nonlinear transformations.

Affiliated with

Also associated with

No associations

Rating

Cole-Hopf Like Transformation for a Class of Coupled Nonlinear Schroedinger Equations 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 Cole-Hopf Like Transformation for a Class of Coupled Nonlinear Schroedinger Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cole-Hopf Like Transformation for a Class of Coupled Nonlinear Schroedinger Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-165395