The unified method for conformable time fractional Schro¨dinger equation with perturbation terms

By M. Osman, Alper Korkmaz, Hadi Rezazadeh, Mohammad Mirzazadeh, Mostafa Eslami, Qin Zhou. Zhongguó wùli xuékan, 2018

176 citations recorded by the source corpus.

Abstract The present study implements the unified method to the conformable time fractional non linear Schr o ¨ dinger equation with perturbation terms. Reduction of the governing equation to a simpler ODE by compatible complex transform is the first step of the procedure. The predicted solutions in finite series forms of various functions satisfying some particular ODEs are substituted into the reduced form of the governing equation. The algebra is resulted in forming the explicit exact solutions in optical solitary, periodic, elliptic and soliton wave forms represented in polynomial or rational functions.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a718fc85631920e72a3fd63bd9f2f806fe6bfbb2

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In Modeling and Simulation

In Statistical and Nonlinear Physics

Citations in the corpus

Solving optimal control problems of Fredholm constraint optimality via the reproducing kernel Hilbert space method with error estimates and convergence analysis (2019, background): “For more resources and conclusions concerning to the fractional‐order derivative and its scientific applications, one can come back to the accompanying fortunes.(51-62) Example 3.”