Results 21 to 30 of about 24,624 (181)

Conservation law, Chupin Liu’s theorem and propagation of pulses in optical metamaterials modeled by NLSE with power law nonlinearity [PDF]

Scientific Reports
This paper devote to investigate plenteous optical and other soliton solutions to the generalized nonlinear Schrödinger equation with the parabolic nonlinear (NL) law by employing two analytical techniques. The analytical schemes are the improved $$\exp (
He Zhu, Jalil Manafian, Alaa Hussein Hammadi, Onur Alp Ilhan, Mehrdad Lakestani, Somaye Malmir, K. H. Mahmoud   +6 more
doaj   +2 more sources

Periodic solutions to PDEs with fractional diffusion

, 2016
The aim of this Bachelor's Thesis is the study of periodic solutions to nonlinear equations involving the fractional Laplace operator. Our starting point is the Benjamin-Ono equation in water waves, a completely integrable nonlinear problem in one dimension.
F. A. R. Navarro, Juan Carlos
openalex   +2 more sources

Exploring novel solitary wave phenomena in Klein–Gordon equation using $$\phi ^{6}$$ ϕ 6 model expansion method [PDF]

Scientific Reports
In this study, the $$\phi ^{6}$$ ϕ 6 -model expansion method is showed to be useful for finding solitary wave solutions to the Klein–Gordon (KG) equation.
Yasir A. Madani, Khidir Shaib Mohamed, Sadia Yasin, Sehrish Ramzan, Khaled Aldwoah, Mohammed Hassan   +5 more
doaj   +2 more sources

Periodic homogenization of a class of weakly coupled systems of linear PDEs [PDF]

Computational and Applied Mathematics, 2023
In this article, based on probabilistic methods, we discuss periodic homogenization of a class of weakly coupled systems of linear elliptic and parabolic partial differential equations.
Nikola Sandric
semanticscholar   +1 more source

New solitary wave solutions to the coupled Maccari’s system

Results in Physics, 2021
The aim of this study is to find new exact solutions to the coupled Maccaris system by extended rational sine-cosine and rational sinh-cosh methods. By means of these methods, we found some fresh solitons of the above mentioned equation.
Javad Vahidi, Sayyed Masood Zekavatmand, Hadi Rezazadeh, Mustafa Inc, Mehmet Ali Akinlar, Yu-Ming Chu   +5 more
doaj   +1 more source

On the localized and periodic solutions to the time-fractional Klein-Gordan equations: Optimal additive function method and new iterative method

Open Physics, 2023
This investigation explores two numerical approaches: the optimal auxiliary function method (OAFM) and the new iterative method (NIM). These techniques address the physical fractional-order Klein-Gordon equations (FOKGEs), a class of partial differential
S. Mukhtar, Ma’mon Abu Hammad, Rasool Shah, A. Alrowaily, S. Ismaeel, S. El-Tantawy   +5 more
semanticscholar   +1 more source

Solitary wave solutions for the originating waves that propagate of the fractional Wazwaz-Benjamin-Bona-Mahony system

Alexandria Engineering Journal, 2023
In this article, we discuss various solitary wave solutions that are extremely important in applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we have employed the Khater technique to nonlinear equation for 3 ...
Asghar Ali, Jamshad Ahmad, Sara Javed
doaj   +1 more source

New soliton solutions of modified (3+1)-D Wazwaz–Benjamin–Bona–Mahony and (2+1)-D cubic Klein–Gordon equations using first integral method

Open Physics, 2023
In this article, first integral method (FIM) is used to acquire the analytical solutions of (3+1)-D Wazwaz–Benjamin–Bona–Mahony and (2+1)-D cubic Klein–Gordon equation. New soliton solutions are obtained, such as solitons, cuspon, and periodic solutions.
Javeed Shumaila, Imran Tayyab, Ahmad Hijaz, Tchier Fairouz, Zhao Yun-Hui   +4 more
doaj   +1 more source

New Three Wave and Periodic Solutions for the Nonlinear (2+1)-Dimensional Burgers Equations

Symmetry, 2023
This research paper is about the new three wave, periodic wave and other analytical wave solutions of (2+1)-Dimensional Burgers equations by utilizing Hirota bilinear and extended sinh-Gordon equation expansion (EShGEE) schemes.
W. Razzaq, A. Zafar, Abdulaziz Khalid Alsharidi, M. Alomair   +3 more
semanticscholar   +1 more source

Abundant optical soliton structures to the Fokas system arising in monomode optical fibers

Open Physics, 2022
Three effective methods, namely, the simplified extended tanh-function method (SETFM), variational method (VM) and He’s frequency formulation method (HFFM) are employed to investigate the Fokas system that arises in the monomode optical fibers.
Zhang Pei-Ling, Wang Kang-Jia
doaj   +1 more source