# The $$\phi ^{6}$$ ϕ 6 -model expansion method for solving the nonlinear conformable time-fractional Schrödinger equation with fourth-order dispersion and parabolic law nonlinearity

The $$\phi ^{6}$$ ϕ 6 -model expansion method for solving the nonlinear conformable... The $$\phi ^{6}$$ ϕ 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 Schrödinger 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Optical and Quantum Electronics Springer Journals

# The $$\phi ^{6}$$ ϕ 6 -model expansion method for solving the nonlinear conformable time-fractional Schrödinger equation with fourth-order dispersion and parabolic law nonlinearity

, Volume 50 (3) – Mar 14, 2018
19 pages

/lp/springer_journal/the-phi-6-6-model-expansion-method-for-solving-the-nonlinear-gqNbDzqGd7
Publisher
Springer US
Subject
Physics; Optics, Lasers, Photonics, Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks
ISSN
0306-8919
eISSN
1572-817X
D.O.I.
10.1007/s11082-018-1426-z
Publisher site
See Article on Publisher Site

### Abstract

The $$\phi ^{6}$$ ϕ 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 Schrödinger 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.

### Journal

Optical and Quantum ElectronicsSpringer Journals

Published: Mar 14, 2018

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