Travelling waves due to negative plant-soil feedbacks in a model including tree life-stages
bioRxiv, 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
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Invasion traveling wave solutions of a competitive system with dispersal
Boundary 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
Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion [PDF]
, 2020 Mathematics Subject Classi cation. Primary: 35B06, 35L65, 35C07; Secondary: 35Q53.We provide a complete classification of point symmetries and low-order local conservation laws of the generalized quasilinear KdV equation in terms of the arbitrary ...
Bruzón Gallego, María de los Santos +3 more
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On the instability of a nonlocal conservation law [PDF]
, 2011 We are interested in a nonlocal conservation law which describes the morphodynamics of sand dunes sheared by a fluid flow, recently proposed by Andrew C. Fowler. We prove that constant solutions of Fowler's equation are non-linearly unstable.
Bouharguane, Afaf
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On different kinds of solutions to simplified modified form of a Camassa-Holm equation
Journal of Applied Mathematics and Computational Mechanics, 2019 In this research, our purpose is to investigate some types of solutions to a simplified modified form of the Camassa-Holm equation. The Jacobi elliptic function expansion method is applied to this equation.
Hami Gündoǧdu, Ö. F. Gözükizil
semanticscholar +1 more source
Transversal instability for the thermodiffusive reaction-diffusion system [PDF]
, 2014 The propagation of unstable interfaces is at the origin of remarkable patterns that are observed in various areas of science as chemical reactions, phase transitions, growth of bacterial colonies.
Kolwalczyk, Michal +2 more
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GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION
Forum of Mathematics, Pi, 2020 We prove that any simple planar travelling wave solution to the membrane equation in spatial dimension $d\geqslant 3$ with bounded spatial extent is globally nonlinearly stable under sufficiently small compactly supported perturbations, where the ...
LEONARDO ABBRESCIA +1 more
doaj +1 more source
ON APPROXIMATE AND CLOSED-FORM SOLUTION METHOD FOR INITIAL-VALUE WAVE-LIKE MODELS [PDF]
, 2016 This work presents a proposed Modified Differential Transform Method (MDTM) for obtaining both closed-form and approximate solutions of initial-value wave-like models with variable, and constant coefficients.
Akinlabi, G. O., Edeki, S.O.
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(Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations
Advances in Nonlinear Analysis, 2014 We prove the existence and nonlinear instability of periodic traveling wave solutions for the critical one-dimensional Klein–Gordon equation. We also establish a linear instability criterium for a KdV type system.
Angulo Pava Jaime, Natali Fabio
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Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient [PDF]
, 2014 Several mathematical models of tumor growth are now commonly used to explain medical observations and predict cancer evolution based on images. These models incorporate mechanical laws for tissue compression combined with rules for nutrients availability
Perthame, Benoît +2 more
core +4 more sources