Results 1 to 10 of about 694 (184)

Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method [PDF]

Scientific Reports
In this research, we utilized the Jacobi elliptic function expansion method to study the truncated M-fractional nonlinear Shynaray-IIA (S-IIA) equation with computational simulations. With the use of a truncated M-fractional derivative, the nonlinear (1 +
Mujahid Iqbal, Muhammad Ishfaq Khan, Huda Daefallh Alrashdi, Reem Algethamie, Faizah A. H. Alomari, Abeer Aljohani, Nazar Mohammad, Salma Aljawi   +7 more
doaj   +2 more sources

Advanced fractional soliton solutions of the Joseph–Egri equation via Tanh–Coth and Jacobi function methods [PDF]

Scientific Reports
This study introduces new exact soliton solutions of the time-fractional Joseph–Egri equation by employing the Tanh–Coth and Jacobi Elliptic Function methods.
Khadija Shakeel, Dumitru Baleanu, Muhammad Abbas, Majeed Ahmad Yousif, Pshtiwan Othman Mohammed, Farah Aini Abdullah, Thabet Abdeljawad   +6 more
doaj   +2 more sources

Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation method

Results in Physics, 2022
The deal of this paper is to use the differential-difference Jacobi elliptic functions sub-equation method for constructing exact solutions of nonlinear electrical circuit including intrinsic fractional-order in the sense of Riemann–Liouville derivatives.
Emmanuel Fendzi-Donfack, Dipankar Kumar, Eric Tala-Tebue, Laurent Nana, Jean Pierre Nguenang, Aurélien Kenfack-Jiotsa   +5 more
doaj   +1 more source

Some new soliton solutions to the higher dimensional Burger–Huxley and Shallow water waves equation with couple of integration architectonic

Results in Physics, 2022
In this paper, we retrieve some traveling wave, periodic solutions, bell shaped, rational, kink and anti-kink type and Jacobi elliptic functions of Burger’s equation and Shallow water wave equation with the aid of various integration schemes like ...
Farrah Ashraf, Tehsina Javeed, Romana Ashraf, Amina Rana, Ali Akgül, Shahram Rezapour, Muhammad Bilal Hafeez, Marek krawczuk   +7 more
doaj   +1 more source

Dispersive Optical Solitons for Stochastic Fokas-Lenells Equation With Multiplicative White Noise

Eng, 2022
For the first time, we study the Fokas–Lenells equation in polarization preserving fibers with multiplicative white noise in Itô sense. Four integration algorithms are applied, namely, the method of modified simple equation (MMSE), the method of sine ...
Elsayed M. E. Zayed, Mahmoud El-Horbaty, Mohamed E. M. Alngar, Mona El-Shater   +3 more
doaj   +1 more source

Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method

Fractal and Fractional, 2022
The fractional massive Thirring model is a coupled system of nonlinear PDEs emerging in the study of the complex ultrashort pulse propagation analysis of nonlinear wave functions.
Mohammed Shqair, Mohammed Alabedalhadi, Shrideh Al-Omari, Mohammed Al-Smadi   +3 more
doaj   +1 more source

He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions

Journal of Low Frequency Noise, Vibration and Active Control, 2020
In this work, the Duffing’s type analytical frequency–amplitude relationship for nonlinear oscillators is derived by using Hés formulation and Jacobi elliptic functions.
Alex Elías-Zúñiga, Luis Manuel Palacios-Pineda, Isaac H Jiménez-Cedeño, Oscar Martínez-Romero, Daniel Olvera Trejo   +4 more
doaj   +1 more source

New Exact Solutions of Some Important Nonlinear Fractional Partial Differential Equations with Beta Derivative

Fractal and Fractional, 2022
In this work, the F-expansion method is used to find exact solutions of the space-time fractional modified Benjamin Bona Mahony equation and the nonlinear time fractional Schrödinger equation with beta derivative.
Erdogan Mehmet Ozkan
doaj   +1 more source

On the Asymptotics and Distribution of Values of the Jacobi Theta Functions and the Estimate of the Type of the Weierstrass Sigma Functions

Axioms, 2021
A refined asymptotics of the Jacobi theta functions and their logarithmic derivatives have been received. The asymptotics of the Nevanlinna characteristics of the indicated functions and the arbitrary elliptic function have been found.
Mykola Korenkov, Yurii Kharkevych
doaj   +1 more source

Approximate Analytical and Numeric Solutions to a Forced Damped Gardner Equation

The Scientific World Journal, 2022
In this paper, some exact traveling wave solutions to the integrable Gardner equation are reported. The ansatz method is devoted for deriving some exact solutions in terms of Jacobi and Weierstrass elliptic functions.
Alvaro H. Salas, S. A. El-Tantawy, Lorenzo J. Martinez H.   +2 more
doaj   +1 more source