Conservation laws and optical solutions of the resonant nonlinear Schrödinger's equation with parabolic nonlinearity

Abstract In this article, conservation laws and exact analytical solutions of resonant nonlinear Schrodinger's equation with parabolic nonlinearity are discussed. we implemented Modified Kudryashov algorithm and exp ( − ϕ ( Ψ ) ) -expansion algorithm for calculating the exact solutions. We applied the transformation W ( x , t ) = A ( x , t ) e iB ( x , t ) to our original equation which convert it into a system. Then conservation laws are achieved with multiplier method. These results are useful in optical fibres and Medeling fluids problems.