Results 71 to 80 of about 3,396,163 (214)
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
A global investigation of solitary-wave solutions to a two-parameter model for water waves [PDF]
, 1996 The model equation (2r''''/15)-(br'')+(ar)+(3r^2/2)-((r')^2/2)+[rr']'=0 arises as the equation for solitary-wave solutions to a fifth-order long-wave equation for gravitycapillary water waves.
Groves, MD, Champneys, AR
core
Electronic Journal of Differential Equations, 2019 We consider a class of discrete nonlinear Schrodinger (DNLS) equations in m dimensional lattices with partially sublinear nonlinearity f. Combining variational methods and a priori estimate, we give a general sufficient condition on f for type (A ...
Genghong Lin, Jianshe Yu, Zhan Zhou
doaj
New existence and multiplicity of homoclinic solutions for second order non-autonomous systems
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we study the second order non-autonomous system \begin{eqnarray*} \ddot{u}(t)+A\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0, \ \ \forall t\in\mathbb{R}, \end{eqnarray*} where $A$ is an antisymmetric $N\times N$ constant matrix, $L\in C ...
Huiwen Chen, Zhimin He
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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 Hermite spectral method for the computation of homoclinic orbits and associated functionals [PDF]
, 2007 We present a spectral method for the computation of homoclinic orbits in ordinary differential equations. The method is based on Hermite–Fourier expansions of the complete homoclinic solution and exhibits exponential convergence.
Korostyshevskiy, Valeriy R. +1 more
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Fast homoclinic solutions for damped vibration problems with superquadratic potentials
Boundary Value Problems, 2018 In this paper we investigate the existence and multiplicity of homoclinic solutions for the following damped vibration problem: DS u¨+q(t)u˙−L(t)u+Wu(t,u)=0, $$ \ddot{u}+q(t) \dot{u}-L(t)u+W_{u}(t,u)=0, $$ where q:R→R $q:\mathbb{R}\rightarrow\mathbb{R ...
Xinhe Zhu, Ziheng Zhang
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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
Pattern competition and homoclinic crossing
, 1998 We study the mechanism of pattern competition in a system described by the generalized nonlinear Schrödinger (GNS) equation with periodic boundary conditions.
Yu Tan +3 more
core +1 more source
Homoclinic orbit solutions of a one Dimensional Wilson-Cowan type model
Electronic Journal of Differential Equations, 2008 We analyze a time independent integral equation defined on a spatially extended domain which arises in the modelling of neuronal networks. In this paper, the coupling function is oscillatory and the firing rate is a smooth "heaviside-like" function ...
Edward P. Krisner
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