Results 1 to 10 of about 962 (91)

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

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

Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors [PDF]

SIAM Journal on Mathematical Analysis, 2020
We consider several models (including both multidimensional ordinary differential equations (ODEs) and partial differential equations (PDEs), possibly ill-posed), subject to very strong damping and quasi-periodic external forcing. We study the existence of response solutions (i.e., quasi-periodic solutions with the same frequency as the forcing). Under
Fenfen Wang, Rafael de la Llave
openaire   +2 more sources

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

Continuous and discrete periodic asymptotic behavior of solutions to a competitive chemotaxis PDEs system

Communications in Nonlinear Science and Numerical Simulation, 2021
In this paper we study the continuous and full discrete versions of a parabolic-parabolic-elliptic system with periodic terms that serves as a model for some chemotaxis phenomena. This model appears naturally in the interaction of two biological species and a chemical.
M. Negreanu, A.M. Vargas
openaire   +3 more sources

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

Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity

Results in Physics, 2023
In this paper, we study the extended (3+1)-dimensional nonlinear conformable Schrödinger equation with cubic–quintic nonlinearity. We use three different methods to obtain exact solutions of this equation: the G′/G expansion method, the extended ...
Mohammad Mirzazadeh, A. Sharif, Mir Sajjad Hashemi, Ali Akgül, Sayed M. El Din   +4 more
doaj   +1 more source

Study on the Nonlinear Dynamics of the (3+1)-Dimensional Jimbo-Miwa Equation in Plasma Physics

Axioms, 2023
The Jimbo-Miwa equation (JME) that describes certain interesting (3+1)-dimensional waves in plasma physics is studied in this work. The Hirota bilinear equation is developed via the Cole-Hopf transform.
Peng Xu, Bing-Qi Zhang, Huan Huang, Kang-Jia Wang   +3 more
doaj   +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