Results 81 to 90 of about 2,741,766 (204)
Alexandria Engineering JournalIn this paper, the new solitary wave solutions of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation are obtained by Lie group symmetry method and the extended homoclinic test approach.
Chunxiao Guo +3 more
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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 +3 more
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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 +4 more
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Homoclinic solutions for a class of second order non-autonomous systems
Electronic Journal of Differential Equations, 2009 This article concerns the existence of homoclinic solutions for the second order non-autonomous system $$ ddot q+A dot q-L(t)q+W_{q}(t,q)=0, $$ where $A$ is a skew-symmetric constant matrix, $L(t)$ is a symmetric positive definite matrix depending ...
Ziheng Zhang, Rong Yuan
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Bifurcation analysis constitutes a powerful tool for understanding transport flow phenomena arising from peristaltic motion in a curved heated endoscope. This approach is useful for assessing a peristaltic endoscope model in a curved tube. Bifurcation and dynamical analyses reveal heat transfer and entropy behavior at critical points.
Thoraya N. Alharthi, Qingkai Zhao
wiley +1 more source
Results in Physics, 2020 The multi-wave solutions for nonlinear Hirota equation are obtained using logarithmic transformation and symbolic computation using the function method.
K. El-Rashidy +3 more
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Snake-to-isola transition and moving solitons via symmetry-breaking in discrete optical cavities [PDF]
, 2010 This paper continues an investigation into a one-dimensional lattice equation that models the light field in a system comprised of a periodic array of pumped optical cavities with saturable nonlinearity.
Champneys, AR, Yulin, AV
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Fast homoclinic solutions for damped vibration problems under local conditions
Journal of Inequalities and ApplicationsIn this paper, we study the fast homoclinic solutions for the following damped vibration problems u ¨ ( t ) + q ( t ) u ˙ ( t ) − L ( t ) u ( t ) + ∇ W ( t , u ( t ) ) = 0 $\ddot{u}(t)+q(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0$ , ∀ t ∈ R $\forall t \in \
Wen-Kai Li +3 more
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Multi-pulse Orbits and Homoclinic Trees in a Non-autonomous Resonant Hamiltonian System
MATEC Web of Conferences, 2016 In this study, we develop the energy-phase method to deal with the high-dimensional non-autonomous nonlinear dynamical systems. Our generalized energy-phase method applies to integrable, two-degree-of freedom non-autonomous resonant Hamiltonian systems ...
Zhou Sha, Zhang Wei, Yu Tian-jun
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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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