Results 11 to 20 of about 23,176 (145)
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 +5 more
doaj +1 more source
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
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
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 +4 more
doaj +1 more source
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 +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 +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
Axioms, 2023 This paper provides an investigation on nonlinear dynamic behaviors of the (3+1)-dimensional B-type Kadomtsev—Petviashvili equation, which is used to model the propagation of weakly dispersive waves in a fluid.
Kang-Jia Wang +3 more
doaj +1 more source
Results in Physics, 2022 This paper gives a study to the system of ion sound and Langmuir waves (SEISLWs). Seven sets of the traveling wave solutions (TWSs) like the bright solitary (Type-1, Type-2, Type-3, Type-4), kinky bright solitary, dark solitary and periodic wave ...
Kang-Jia Wang, Guo-dong Wang
doaj +1 more source