33 citations · 54 across the 2 of their papers we have counts for
2 papers
nlin.SI2018★ 21 cited
Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation
K. Sakkaravarthi, A. G. Johnpillai, A. Durga Devi +2
We consider the nonlinear Helmholtz (NLH) equation describing the beam propagation in a planar waveguide with Kerr-like nonlinearity under non-paraxial approximation. By applying t…
math-ph2006★ 33 cited
Group Analysis of Nonlinear Fin Equations
O. O. Vaneeva, A. G. Johnpillai, R. O. Popovych +1
Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. Th…