Results 1 to 10 of about 449 (113)

New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities

open access: yesFrontiers in Physics, 2020
New plasma wave solutions of the modified Kadomtsev Petviashvili (MKP) equation are presented. These solutions are written in terms of some elementary functions, including trigonometric, rational, hyperbolic, periodic, and explosive functions.
Hesham G. Abdelwahed   +6 more
doaj   +2 more sources

Diffusion–convection reaction equations with sign-changing diffusivity and bistable reaction term [PDF]

open access: yesNonlinear Analysis: Real World Applications, 2021
We consider a reaction-diffusion equation with a convection term in one space variable, where the diffusion changes sign from the positive to the negative and the reaction term is bistable.
Diego Berti, A. Corli, L. Malaguti
semanticscholar   +1 more source

Solitary Wave Solutions for a Generalized KdV Equation with High Power Nonlinearities

open access: yesJournal of Physics: Conference Series, 2022
In current paper, a generalized KdV equation with high order nonlinearities has been investigated by the expansion and the ansatz method. The obtained solutions can be classified as periodic soliton solution, kink solution, triangular soliton solution ...
Rui Wu   +7 more
semanticscholar   +1 more source

Propagation and blocking in a two-patch reaction-diffusion model [PDF]

open access: yesJournal des Mathématiques Pures et Appliquées, 2021
This paper is concerned with propagation phenomena for the solutions of the Cauchy problem associated with a two-patch one-dimensional reaction-diffusion model.
F. Hamel, F. Lutscher, Mingmin Zhang
semanticscholar   +1 more source

Traveling wave solutions of the generalized scale-invariant analog of the KdV equation by tanh–coth method

open access: yesNonlinear Engineering, 2023
In this work, the generalized scale-invariant analog of the Korteweg–de Vries equation is studied. For the first time, the tanh–coth methodology is used to find traveling wave solutions for this nonlinear equation.
González-Gaxiola Oswaldo   +1 more
doaj   +1 more source

Front propagation in a double degenerate equation with delay

open access: yesAdvances in Nonlinear Analysis, 2023
The current article is concerned with the traveling fronts for a class of double degenerate equations with delay. We first show that the traveling fronts decay algebraically at one end, while those may decay exponentially or algebraically at the other ...
Bo Wei-Jian, Wu Shi-Liang, Du Li-Jun
doaj   +1 more source

Painlevé analysis, auto-Bäcklund transformation and new exact solutions of (2+1) and (3+1)-dimensional extended Sakovich equation with time dependent variable coefficients in ocean physics

open access: yesJournal of Ocean Engineering and Science, 2023
This article considers time-dependent variable coefficients (2+1) and (3+1)-dimensional extended Sakovich equation. Painlevé analysis and auto-Bäcklund transformation methods are used to examine both the considered equations.
Shailendra Singh, S. Saha Ray
doaj   +1 more source

Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay

open access: yesOpen Mathematics, 2022
This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al.
Wu Xin, Ma Zhaohai
doaj   +1 more source

A variety of physical structures to the generalized equal-width equation derived from Wazwaz-Benjamin-Bona-Mahony model

open access: yesJournal of Ocean Engineering and Science, 2022
In this paper we are interested in investigating the physical shape-changed propagations to the generalized Equal-Width equation through studying the explicit solutions of Wazwaz-Benjamin-Bona-Mahony model.
Imad Jaradat, Marwan Alquran
doaj   +1 more source

New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation

open access: yesNonlinear Engineering, 2021
In this article, (2+1)-dimensional Ito equation that models waves motion on shallow water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the simplest equation and modified simplest equation algorithms are utilized to
Inc Mustafa   +5 more
doaj   +1 more source

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