4.5 Article

The φ6-model expansion method for solving the nonlinear conformable time-fractional Schrodinger equation with fourth-order dispersion and parabolic law nonlinearity

Journal

OPTICAL AND QUANTUM ELECTRONICS
Volume 50, Issue 3, Pages -

Publisher

SPRINGER
DOI: 10.1007/s11082-018-1426-z

Keywords

The phi(6)-model expansion method; Conformable fractional derivative; Jacobi elliptic function solutions; Exact solutions; Solitary wave solutions; Other solutions; Nonlinear Schrodinger equation

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The phi(6)-model expansion method combined with the conformable time-fractional derivative is applied in this paper for finding many new exact solutions including Jacobi elliptic function solutions, solitary wave solutions, trigonometric function solutions and other solutions to the nonlinear conformable time-fractional Schrodinger equation with fourth-order dispersion and parabolic law nonlinearity. This method presents a wider applicability for handling the nonlinear partial differential equations. Comparing our results with the well-known results are given.

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