ANALYTICAL STUDY OF FRACTIONAL NONLINEAR SCHRODINGER EQUATION WITH HARMONIC OSCILLATOR

摘要

In this paper, an effective analytical scheme based on Sumudutransform known as homotopy perturbation Sumudu transform method (HPSTM)is employed to find numerical solutions of time fractional Schrodingerequations with harmonic oscillator.These nonlinear time fractional Schrodingerequations describe the various phenomena in physics such as motion of quantumoscillator, lattice vibration, propagation of electromagnetic waves, uidow, etc. The main objective of this study is to show the effectiveness ofHPSTM, which do not require small parameters and avoid linearization andphysically unrealistic assumptions. The results reveal that proposed schemeis a powerful tool for study large class of problems. This study shows thatthe results obtained by the HPSTM are accurate and effective for analysisthe nonlinear behaviour of complex systems and efficient over other availableanalytical schemes.