Lie Symmetries of (1+1)-Dimensional Cubic Schrödinger Equation with Potential

Details Lie Symmetries of (1+1)-Dimensional Cubic Schrödinger Equation with Potential Lie Symmetries of (1+1)-Dimensional Cubic Schrödinger Equation with Potential

2003-10-21

arxiv.org/abs/math-ph/0310039v3

Proceedings of Fifth International Conference "Symmetry in Nonlinear Mathematical Physics", Kyiv, Institute of Mathematics, 20

Physics

Mathematical Physics

6 pages

Scientific paper

We perform the complete group classification in the class of cubic Schr\"odinger equations of the form $i\psi_t+\psi_{xx}+\psi^2\psi^*+V(t,x)\psi=0$ where $V$ is an arbitrary complex-valued potential depending on $t$ and $x$. We construct all possible inequivalent potentials for which these equations have non-trivial Lie symmetries using algebraic and compatibility methods simultaneously. Our classification essentially amends earlier works on the subject.

Affiliated with

Also associated with

No associations

Rating

Lie Symmetries of (1+1)-Dimensional Cubic Schrödinger Equation with Potential 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 Lie Symmetries of (1+1)-Dimensional Cubic Schrödinger Equation with Potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lie Symmetries of (1+1)-Dimensional Cubic Schrödinger Equation with Potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-510198