Symmetries and invariant solutions of the planar paraxial wave equation in photosensitive media.
We study the equations describing planar self-written waveguides through group theoretical methods. We show the equations are nonintegrable through Painlevé analysis. Using Lie group analysis we construct a class of exact solutions for this problem. We also show the previously reported modal ansatz solutions can be recovered from our present results as a special case.
School of Physics, The University of Sydney, NSW 2006, Australia.
M
M
Senthilvelan
L
L
Poladian
C Martijn
CM
de Sterke