The deterministic and stochastic solutions of the Schrodinger equation with time conformable derivative in birefrigent fibers

Abstract

In this manuscript, the deterministic and stochastic nonlinear Schrödinger equation with time conformable derivative is analysed in birefrigent fibers. Hermite transforms, white noise analysis and the modified fractional sub-equation method are used to obtain white noise functional solutions for this equation. These solutions consists of exact stochastic hyperbolic functions, trigonometric functions and wave solutions.

Keywords

• the stochastic time fractional nonlinear schrödinger equation
• the modified fractional sub-equation method