Results 1 to 10 of about 655 (118)

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

Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg–de Vries system with the impact of fractional derivative via analytical approach [PDF]

Scientific Reports
In this paper, we investigate exact analytical solutions of the (2+1)-dimensional complex modified Korteweg–de Vries (CmKdV) system using the truncated M-fractional derivative together with the Jacobi elliptic function expansion method.
Muhammad Ishfaq Khan, Meraj Ali Khan, Mujahid Iqbal, Weam Gaoud Alghabban, Abeer Aljohani, Ibrahim Al-Dayel, Baboucarr Ceesay   +6 more
doaj   +2 more sources

Travelling wave solutions for the doubly dispersive equation using improved modified extended tanh-function method

Alexandria Engineering Journal, 2022
In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method.
Manar S. Ahmed, Afaf A.S. Zaghrout, Hamdy M. Ahmed   +2 more
doaj   +1 more source

Periodic and Solitary Wave Solutions for the One-Dimensional Cubic Nonlinear Schrödinger Model

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Using a similar approach as Korteweg and de Vries, [19], we obtain periodic solutions expressed in terms of the Jacobi elliptic function cn, [3], for the self-focusing and defocusing one-dimensional cubic nonlinear Schrödinger equations.
Bica Ion, Mucalica Ana
doaj   +1 more source

Doubly periodic wave structure of the modified Schrödinger equation with fractional temporal evolution

Results in Physics, 2022
Abundant Jacobi elliptic type solutions with distinct physical structures of complex nonlinear conformable time-fractional modified Schrödinger equation are obtained by using the generalized Jacobi elliptic function (GJEF) method.
Pinki Kumari, R.K. Gupta, Sachin Kumar, K.S. Nisar   +3 more
doaj   +1 more source

W-Shaped Bright Soliton of the (2 + 1)-Dimension Nonlinear Electrical Transmission Line

Mathematics, 2023
In this paper, we investigate solitary wave solutions of the nonlinear electrical transmission line by using the Jacobi elliptic function and the auxiliary equation methods.
Mustafa Inc, Rubayyi T. Alqahtani, Ravi P. Agarwal   +2 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

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

Nonlinear pulse propagation for novel optical solitons modeled by Fokas system in monomode optical fibers

Results in Physics, 2022
In this study, the Fokas system which represents the spread of irregular pulse in monomode optical fibers is investigated via the Jacobi elliptic function expansion (JEFE) method. This method is the most powerful technique to explore solutions for a wide
Sibel Tarla, Karmina K. Ali, Tian-Chuan Sun, Resat Yilmazer, M.S. Osman   +4 more
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Infinitely Many Elliptic Solutions to a Simple Equation and Applications

Abstract and Applied Analysis, 2013
Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
doaj   +1 more source