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.
Senthilvelan
M
M
School of Physics, The University of Sydney, NSW 2006, Australia.
Poladian
L
L
de Sterke
C Martijn
CM