Results 71 to 80 of about 9,595 (205)

Periodic and Homoclinic Solutions of Extended Fisher–Kolmogorov Equations

Journal of Mathematical Analysis and Applications, 2000
The authors study the existence of periodic and homoclinic solutions to fourth-order semilinear equations via variational methods.
Tersian, Stepan, Chaparova, Julia
openaire   +2 more sources

Dynamics of Computational Solitons: Modulation Instability, Bifurcation, Chaotic Nature With Different Chaos‐Detecting Tools, and Influence of Multiplicative Noise Intensity

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid, Mohamed Abdalla, M. S. Osman, Smritijit Sen   +3 more
wiley   +1 more source

Various Heteroclinic Solutions for the Coupled Schrödinger-Boussinesq Equation

Abstract and Applied Analysis, 2013
Various closed-form heteroclinic breather solutions including classical heteroclinic, heteroclinic breather and Akhmediev breathers solutions for coupled Schrödinger-Boussinesq equation are obtained using two-soliton and homoclinic test methods ...
Murong Jiang, Zhengde Dai
doaj   +1 more source

Harmonic Balance for Non-Periodic Hyperbolic Solutions of Nonlinear Ordinary Differential Equations

Mathematical Modelling and Analysis, 2017
In this paper, we propose a new approach for obtaining explicit analytical approximations to the homoclinic or heteroclinic solutions of a general class of strongly nonlinear ordinary differential equations describing conservative singledegree-of-freedom
Serge Bruno Yamgoue, Olivier Tiokeng Lekeufack, Timoleon Crepin Kofane   +2 more
doaj   +1 more source

Periodic and homoclinic solutions of the modified 2+1 Chiral model

, 2004
We use algebraic Backlund transformations (BTs) to construct explicit solutions of the modified 2+1 chiral model from $T^2\times R$ to SU(n), where $T^2$ is a 2-torus. Algebraic BTs are parameterized by $z\in C$ (poles) and holomorphic maps $\pi$ from $T^
Dai, Bo, Terng, Chuu-Lian
core   +1 more source

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah, Faizah J. Alanazi, Mehmet Yavuz, Sayed Saber, Mengxin Chen   +4 more
wiley   +1 more source

Homoclinic solutions for second-order non-autonomous Hamiltonian systems without global Ambrosetti-Rabinowitz conditions

Electronic Journal of Differential Equations, 2010
This article studies the existence of homoclinic solutions for the second-order non-autonomous Hamiltonian system $$ ddot q-L(t)q+W_{q}(t,q)=0, $$ where $Lin C(mathbb{R},mathbb{R}^{n^2})$ is a symmetric and positive definite matrix for all $tin ...
Rong Yuan, Ziheng Zhang
doaj  

Infinitely Many Fast Homoclinic Solutions for Damped Vibration Systems with Combined Nonlinearities [PDF]

Sahand Communications in Mathematical Analysis
This article  concerns the existence of fast homoclinic solutions for the following damped vibration system\begin{equation*}\frac{d}{dt}(P(t)\dot{u}(t))+q(t)P(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0,\end{equation*}where $P,L\in C\left(\mathbb{R},\mathbb{
Mohsen Timoumi
doaj   +1 more source

Multistable Solitons in the Cubic-Quintic Discrete Nonlinear Schr\"odinger Equation

, 2005
We analyze the existence and stability of localized solutions in the one-dimensional discrete nonlinear Schr\"{o}dinger (DNLS) equation with a combination of competing self-focusing cubic and defocusing quintic onsite nonlinearities.
Alfimov, Aubry, B.A. Malomed, Boudebs, Bountis, C. Chong, Campbell, Carretero-González, Carretero-González, Cataliotti, Chen, Cheskis, Christodoulides, Christodoulides, Cowan, Dauxois, Dorignac, Eisenberg, Flach, Flach, Fleischer, Gisin, Greiner, Hadžievski, J.D. Talley, Kapitula, Kevrekidis, Kevrekidis, Khare, Koukouloyannis, Koukouloyannis, Laedke, Li, MacKay, Malomed, Malomed, Merhasin, Pertsch, Porter, Pushkarov, R. Carretero-González, Sato, Sato, Seaman, Smektala, Stepić, Trombettoni, Tsironis, Tsironis, Vakhitov, Vinetskii, Wang, Zhan, Öster   +53 more
core   +1 more source

Bifurcation Analysis of Nonlinear Oscillations in the Electrical Activity of Pancreatic β‐Cells

Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.
ABSTRACT Cell biological systems are characterized by complex relationships and nonlinear processes. The modeling of these processes improves the understanding, and represents a significant enrichment of the experimental investigation. An example of such a system is the regulation of blood glucose concentration by pancreatic β$\beta$‐cells through the ...
Paula Clasen, Lars de Jong, Michael Müller   +2 more
wiley   +1 more source