Results 31 to 40 of about 395 (79)
Traveling gravity water waves with critical layers [PDF]
, 2016 We establish the existence of small-amplitude uni- and bimodal steady periodic gravity waves with an affine vorticity distribution, using a bifurcation argument that differs slightly from earlier theory.
Aasen, Ailo, Varholm, Kristoffer
core +2 more sources
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 +2 more
doaj +1 more source
Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait [PDF]
, 2012 We consider a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait. To sustain the possibility of invasion in the case where an underlying principal eigenvalue is negative, we ...
Alfaro, Matthieu +2 more
core +3 more sources
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 +1 more
doaj +1 more source
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 +2 more
core +2 more sources
Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations [PDF]
, 2016 This paper investigates the existence of generalized transition fronts for Fisher-KPP equations in one-dimensional, almost periodic media. Assuming that the linearized elliptic operator near the unstable steady state admits an almost periodic ...
Nadin, Grégoire, Rossi, Luca
core +5 more sources
Demonstratio MathematicaThis 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 +2 more
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
Advances in Nonlinear AnalysisThis 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