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

Authors : Sevil ÇULHA ÜNAL, Ayşegül DAŞCIOĞLU, Dilek VAROL BAYRAM

Pages : 53-63

Doi:10.36753/mathenot.688493

View : 29 | Download : 8

Publication Date : 2021-06-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(SRLW); equation have been obtained. The elliptic function solutions of a nonlinear ordinary differential insert ignore into journalissuearticles values(auxiliary); equation $\leftinsert ignore into journalissuearticles values({dF}/{d \xi}\right); ^{2} = PF^{4} insert ignore into journalissuearticles values(\xi);+QF^{2} insert ignore into journalissuearticles values(\xi); + R$ 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

ORIGINAL ARTICLE URL