Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation

Details Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation

2005-10-26

arxiv.org/abs/nlin/0510065v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages

Scientific paper

10.1088/0305-4470/39/14/013

By using the Lie's invariance infinitesimal criterion we obtain the continuous equivalence transformations of a class of nonlinear Schr\"{o}dinger equations with variable coefficients. Starting from the equivalence generators we construct the differential invariants of order one. We apply these latter ones to find the most general subclass of variable coefficient nonlinear Schr\"{o}dinger equations which can be mapped, by means of an equivalence transformation, to the well known cubic Schr\"{o}dinger equation. We also provide the explicit form of the transformation.

Affiliated with

Also associated with

No associations

Rating

Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger 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 Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-555359