High-Order Dispersive Cubic-Quintic Schrödinger Equation and Its Exact Solutions
K. Hosseinia, R. Ansarib, F. Samadanib, A. Zabihic, A. Shafaroodyd, M. Mirzazadehe
aDepartment of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
bDepartment of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran
cDepartment of Mechanical Engineering, Ahrar Institute of Technology and Higher Education, Rasht, Iran
dYoung Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran
eDepartment of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157 Rudsar-Vajargah, Iran
Received: January 2, 2019; received version June 10, 2019; in final form July 11, 2019
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The light pulses propagation in optical fibers modeled by the dispersive cubic-quintic Schrödinger equation including high-order time derivatives is investigated in detail. For this purpose, the expa-function scheme is utilized along with a symbolic computation system to gain the exact solutions of the model. As an outcome, a wide range of exact solutions including dark and periodic solitary wave solutions are effectively derived, verifying the excellent performance of the scheme.

topics: dispersive cubic-quintic Schrödinger equation, high-order time derivatives, optical fibers, {exp}a-function scheme, dark and periodic solitary wave solutions