Results 41 to 50 of about 942 (96)

Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation

Advances in Nonlinear Analysis
Consideration herein is the stability issue of peaked solitary wave solution for the modified Camassa-Holm-Novikov equation, which is derived from the shallow water theory.
Luo Ting
doaj   +1 more source

Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model

Alexandria Engineering Journal, 2022
In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan, S.A.H. Bukhari, M.B. Almatrafi   +2 more
doaj  

The 2D Kawahara equation on half-strip [PDF]

arXiv, 2014
We formulate on a half-strip an initial boundary value problem for the two-dmensional Kawahara equation. Existence and uniqueness of a regular solution as well as the exponential decay rate for the elevated norm of small solutions are proven.
arxiv  

The ill-posedness of the (non-)periodic traveling wave solution for the deformed continuous Heisenberg spin equation

Open Mathematics
Based on an equivalent derivative non-linear Schrödinger equation, we derive some periodic and non-periodic two-parameter solutions of the deformed continuous Heisenberg spin (DCHS) equation.
Zhong Penghong, Chen Xingfa, Chen Ye
doaj   +1 more source

A Lipschitz metric for conservative solutions of the two-component Hunter--Saxton system [PDF]

arXiv, 2015
We establish the existence of conservative solutions of the initial value problem of the two-component Hunter--Saxton system on the line. Furthermore we investigate the stability of these solutions by constructing a Lipschitz metric.
arxiv  

Stability in $H^{1/2}$ of the sum of $K$ solitons for the Benjamin-Ono equation [PDF]

, 2008
This note proves the orbital stability in the energy space $H^{1/2}$ of the sum of widely-spaced 1-solitons for the Benjamin-Ono equation, with speeds arranged so as to avoid collisions.
arxiv   +1 more source

Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds [PDF]

arXiv, 2016
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable weighted volume growth conditions on geodesic balls.
arxiv  

On the weakly degenerate Allen-Cahn equation

Advances in Nonlinear Analysis, 2019
In this paper we consider a one-dimensional Allen-Cahn equation with degeneracy in the interior of the domain and Neumann boundary conditions. We allow the diffusivity coefficient vanish at some point of the space domain and we are addressed on the ...
Sônego Maicon
doaj   +1 more source

Existence and Stability of Fractional Differential Equations Involving Generalized Katugampola Derivative [PDF]

arXiv, 2017
The existence and stability results for a class of fractional differential equations involving generalized Katugampola derivative are presented herein. Some fixed point theorems are used and enlightening examples of obtained result are also given.
arxiv  

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source