Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation

Year 2021, Volume: 9 Issue: 2, 53 - 63, 01.06.2021

Sevil Çulha Ünal , Ayşegül Daşcıoğlu , Dilek Varol Bayram

https://doi.org/10.36753/mathenot.688493

Cited By: 14

Abstract

In this paper, by using a direct method based on the Jacobi elliptic functions, the exact solutions of the space-time fractional symmetric regularized long wave (SRLW) equation have been obtained. The elliptic function solutions of a nonlinear ordinary differential (auxiliary) equation $\left({dF}/{d \xi}\right) ^{2} = PF^{4} (\xi)+QF^{2} (\xi) + R$ have also been examined. Besides, the solutions have been found in general form including rational, trigonometric and hyperbolic functions. Moreover, the complex valued solutions, periodic solutions, and soliton solutions, have also been gained. Some solutions have been illustrated by the graphics.

Keywords

SRLW equation , Jacobi elliptic function , Nonlinear differential equation , Fractional partial differential equation

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