Results 41 to 50 of about 449 (113)

Interaction Solutions of Long and Short Waves in a Flexible Environment

Alexandria Engineering Journal, 2020
In this study, the new traveling wave solutions resulting from the interaction of the long-short wave system were obtained by using the exp-function method.
Tolga Akturk
doaj   +1 more source

Saturated Fronts in Crowds Dynamics

Advanced Nonlinear Studies, 2021
We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan, Corli Andrea, Malaguti Luisa   +2 more
doaj   +1 more source

Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model [PDF]

, 2012
This paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing proper upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker ...
Liu, Jie, Pan, Shuxia
core   +3 more sources

The Bramson delay in the non-local Fisher-KPP equation [PDF]

, 2019
We consider the non-local Fisher-KPP equation modeling a population with individuals competing with each other for resources with a strength related to their distance, and obtain the asymptotics for the position of the invasion front starting from a ...
Bouin, Emeric, Henderson, Christopher, Ryzhik, Lenya   +2 more
core   +2 more sources

A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin–McCamy equation

Transactions of the American Mathematical Society, 2019
This work is mainly motivated by the study of periodic wave train solutions for the so-called Gurtin-McCamy equation. To that aim we construct a smooth center manifold for a rather general class of abstract second order semi-linear differential equations
A. Ducrot, Pierre Magal
semanticscholar   +1 more source

Closed-form solutions to the conformable space-time fractional simplified MCH equation and time fractional Phi-4 equation

Results in Physics, 2020
The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified ...
Mahmoud A.E. Abdelrahman, Hanan A. Alkhidhr   +1 more
doaj   +1 more source

New soliton solutions for a nonlinear complex hyperbolic Schrödinger dynamical equation with a truncated M-fractional derivative

Demonstratio Mathematica
This research aims to derive novel soliton solutions for a complex hyperbolic Schrödinger equation with a truncated M-fractional derivative. The selected equation is pivotal for its application in modeling various physical phenomena, such as nonlinear ...
Demirbilek Ulviye, Bulut Hasan, Çelik Ercan   +2 more
doaj   +1 more source

On interfaces between cell populations with different mobilities [PDF]

, 2016
Partial differential equations describing the dynamics of cell population densities from a fluid mechanical perspective can model the growth of avascular tumours. In this framework, we consider a system of equations that describes the interaction between
Lorenzi, Tommaso, Lorz, Alexander, Perthame, Benoit   +2 more
core   +3 more sources

Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities

Advances in Nonlinear Analysis
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
doaj   +1 more source

Asymptotic Spreading Fastened by Inter-Specific Coupled Nonlinearities: a Cooperative System

, 2012
This paper is concerned with the asymptotic spreading of a Lotka-Volterra cooperative system. By using the theory of asymptotic spreading of nonautonomous equations, the asymptotic speeds of spreading of unknown functions formulated by a coupled system ...
Lin, Guo
core   +1 more source