Results 1 to 10 of about 364 (142)

Extended Jacobi Elliptic Function Expansion Method to the ZK-MEW Equation [PDF]

International Journal of Differential Equations, 2011
The extended Jacobi elliptic function expansion method is applied for Zakharov-Kuznetsov-modified equal-width (ZK-MEW) equation. With the aid of symbolic computation, we construct some new Jacobi elliptic doubly periodic wave solutions and the ...
Weimin Zhang
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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
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A New Extended Jacobi Elliptic Function Expansion Method and Its Application to the Generalized Shallow Water Wave Equation [PDF]

Journal of Applied Mathematics, 2012
With the aid of symbolic computation, a new extended Jacobi elliptic function expansion method is presented by means of a new ansatz, in which periodic solutions of nonlinear evolution equations, which can be expressed as a finite Laurent series of some ...
Yafeng Xiao, Haili Xue, Hongqing Zhang
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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
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The exact solutions of Fokas-Lenells equation based on Jacobi elliptic function expansion method

Boundary Value Problems, 2022
The Fokas-Lenells (FL) equation, which is rich in physical property in soliton theory as well as optical fiber, is a generalization of the higher-order Schrödinger equation.
Yan-Nan Zhao, Na Wang
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Interacting dust-acoustic multi-soliton and periodic waves in strongly coupled dusty plasma with ion-drag force [PDF]

Scientific Reports
This study investigates head-on collisions of nonlinear dust acoustic waves (DAWs) in an unmagnetized, strongly coupled dusty plasma with ion-drag force.
Shahrina Akter, Tokey Sifullah Tanjil, Md. Golam Hafez   +2 more
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Exploring complex phenomena in fluid flow and plasma physics via the Schrödinger-type Maccari system [PDF]

Scientific Reports
The nonlinear coupled Maccari system of the Schrödinger equation type is an important equation that covers a wide range of topics in fluid flow, deep-water wave theory, plasma physics, nonlinear optics, etc.
Naseem Abbas, Akhtar Hussain, Tarek F. Ibrahim, Faizah D Alanazi, Burak Oğul, Elkhateeb S. Aly, Jorge Herrera   +6 more
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Sub pico-second pulses in mono-mode optical fibers with Triki-Biswas model [PDF]

Scientific Reports
This study explores the Triki-Biswas (TB) model, a novel model describing soliton dynamics in monomodal optical fibers with non-Kerr dispersion, to obtain optical solitons.
Akhtar Hussain, Tarek F. Ibrahim, Faizah D. Alanazi, Ariana Abdul Rahimzai, Arafa A. Dawood, Waleed M. Osman   +5 more
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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
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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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