Results 51 to 60 of about 10,336 (188)

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and Schrödinger Equations

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer, Ross Parker, Atanas G. Stefanov   +2 more
wiley   +1 more source

Analysis of a Heterogeneous Trader Model for Asset Price Dynamics

Discrete Dynamics in Nature and Society, 2011
We examine an asset pricing model of Westerhoff (2005). The model incorporates heterogeneous beliefs among traders, specifically fundamentalists and trend-chasing chartists. The form of the model is shown here to be a nonlinear planar map.
Andrew Foster, Natasha Kirby
doaj   +1 more source

On solutions of neumann boundary value problem for the liénard type equation

Mathematical Modelling and Analysis, 2008
We provide conditions on the functions f(x) and g(x), which ensure the existence of solutions to the Neumann boundary value problem for the equation x'' + f(x)x'2+g(x)=0.
Svetlana Atslega
doaj   +1 more source

Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations

, 2013
In this paper we employ two recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a recently-derived integrable family of generalized Camassa-Holm (GCH) equations.
Choudhury, S. Roy, Gambino, G., Rehman, T.   +2 more
core   +1 more source

Common homoclinic points of commuting toral automorphisms [PDF]

Israel Journal of Mathematics, 1999
The homoclinic points of the hyperbolic automorphisms of the \(n\)-torus are studied. It is supposed that the automorphisms commute so that they determine a \(Z^2\)-action which is assumed irreducible. Then it is shown that every two automorphisms either have exactly the same homoclinic points or have no homoclinic points except 0 itself. The case of a
Manning, Anthony, Schmidt, Klaus
openaire   +2 more sources

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
wiley   +1 more source

A predation model considering a generalist predator and the Rosenzweig functional response

Mathematical Modelling and Analysis
This work deals with the dynamics of an ordinary differential equation system describing a Leslie-Gower predator-prey model with a generalist predator and a non-differentiable functional response proposed by M. L. Rosenzweig, given by h(x) = qxα with 0 <
Viviana Rivera-Estay, Alejandro Rojas-Palma, Eduardo González-Olivares   +2 more
doaj   +1 more source

Bifurcation analysis of modified Leslie-Gower predator-prey model with double Allee effect

Ain Shams Engineering Journal, 2018
In the present article, a modified Leslie-Gower predator-prey model with double Allee effect, affecting the prey population, is proposed and analyzed. We have considered both strong and weak Allee effects separately.
Manoj Kumar Singh, B.S. Bhadauria, Brajesh Kumar Singh   +2 more
doaj   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source