Results 11 to 20 of about 117 (95)

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

A new fractional Jacobi elliptic equation method for solving fractional partial differential equations

open access: yesAdvances in Differential Equations, 2014
In this paper, we propose a new fractional Jacobi elliptic equation method to seek exact solutions of fractional partial differential equations. Based on a traveling wave transformation, certain fractional partial differential equation can be turned into
B. Zheng
semanticscholar   +2 more sources

Invasion traveling wave solutions of a competitive system with dispersal

open access: yesBoundary Value Problems, 2012
This paper is concerned with the invasion traveling wave solutions of a Lotka-Volterra type competition system with nonlocal dispersal, the purpose of which is to formulate the dynamics between the resident and the invader.
Shuxia Pan, G. Lin
semanticscholar   +2 more sources

Travelling waves due to negative plant-soil feedbacks in a model including tree life-stages

open access: yesbioRxiv, 2023
The emergence and maintenance of tree species diversity in tropical forests is commonly attributed to the Janzen-Connell (JC) hypothesis, which states that growth of seedlings is suppressed in the proximity of conspecific adult trees.
A. Iuorio   +5 more
semanticscholar   +1 more source

Investigation of adequate closed form travelling wave solution to the space-time fractional non-linear evolution equations

open access: yesJournal of Ocean Engineering and Science, 2022
This work aims to construct exact solutions for the space-time fractional (2 + 1)- dimensional dispersive longwave (DLW) equation and approximate long water wave equation (ALW) utilizing the two-variable (G′/G,1/G)-expansion method and the modified ...
Mohammad Asif Arefin   +3 more
doaj   +1 more source

New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations

open access: yesAlexandria Engineering Journal, 2022
The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun   +4 more
doaj   +1 more source

Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method

open access: yesAlexandria Engineering Journal, 2020
In this work, a competent and efficient technique namely Exp-function method is used to find the solitary wave solutions of time fractional simplified modified Camassa-Holm equation (CH-equation).
Aniqa Zulfiqar, Jamshad Ahmad
doaj   +1 more source

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