New Optical Soliton Solutions of the Perturbed Fokas-Lenells Equation

Abstract

In this article, we employ the perturbed Fokas-Lenells equation (FLE), which represents recent electronic communications. The Riccati-Bernoulli Sub-ODE method which does not depend on the balance rule is used for the first time to obtain the new exact and solitary wave solutions of this equation. This technique is direct, effective and reduces the large volume of calculations.

New diverse soliton solutions for the coupled Konno-Oono equations

“…(5) Some trials through few set of authors have been constructed to established different types of the soliton solutions for this model, sea for example, Alam and Belgacem [12] who constructed the exact solutions for this model using (G′/G)-expansion method, Yel, et al [13] who investigated the analytical solution of this model using the Sin-Gorden expansion method, Mirhosseini-Alizamini, et al [14] who applied the new extended direct algebraic method to constructed the exact solution for this model and Abdelrahman, et al [14] who applied the Jacobi-Elliptic functions to implemented the closed form of solutions for this model. In the same connection there are recent studies to obtain the traveling wave solutions for many nonlinear problems that arising in various branches of science has been listed through [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. The main idea of this work is to achieve new visions for the different types of exact solutions of the NCKOM in terms of some variables through the manners mentioned above, whenever these variables take specific values, the solitary wave solutions could be achieved.…”

“…In the same vein, the PPAM [2][3][4] has been applied perfectly to propose other new vision of these types of solutions. In related subject other new perceptions of these types have been established using the RBSODM [5][6][7][8]. The suggested model which plays a vital rule in the magnetic field profile was independently introduced by K. Konno and H. Oono [9][10][11] as application for current-field string interacting with an external magnetic field system.…”

Impressive and accurate solutions to the generalized Fokas-Lenells model

“…Finally, n denotes the generalized full nonlinearity. Recently, many approaches have resulted in the exact solutions to NLPDEs which are mostly demonstrated through [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. One of the most famous and powerful ansatz methods which is described briefly and results in the closed form optical solutions for the NLPDEs is the MSEM.…”

Novel optical solitons to the perturbed Gerdjikov–Ivanov equation via collective variables

“…Many physical processes such as nonlinear optics, electromagnetism, plasma, shallow water wave propagation, fluid dynamics and many more can be represented using nonlinear partial differential equations [6][7][8][9]. There are many efficient and compelling methods that have been made to extract the solution of these equations in recent years [10][11][12][13][14].…”