Results 71 to 80 of about 7,276 (215)
On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero
Abstract and Applied Analysis, 2014 The existence and multiplicity of homoclinic solutions for a class of first-order periodic Hamiltonian systems with spectrum point zero are obtained. The proof is based on two critical point theorems for strongly indefinite functionals.
Feng Li, Juntao Sun
doaj +1 more source
Stabilization of heterodimensional cycles
, 2011 We consider diffeomorphisms $f$ with heteroclinic cycles associated to saddles $P$ and $Q$ of different indices. We say that a cycle of this type can be stabilized if there are diffeomorphisms close to $f$ with a robust cycle associated to hyperbolic ...
C Bonatti +14 more
core +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5039-5063, 15 March 2025.This article presents an analytical investigation performed on a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science. To start with, achieving diverse solitary wave solutions to the generalized power‐law model involves using wave transformation, which reduces the model to a nonlinear ordinary differential equation.
Oke Davies Adeyemo
wiley +1 more source
Complexity, Volume 2025, Issue 1, 2025.The aim of this work is to study the alumina–tantalum/motor oil hybrid nanoliquid flow in a porous cavity subjected to a uniform magnetic field. We have used the Darcy–Bénard convection model for the momentum equation and a new local thermal nonequilibrium formulation for heat transport.
Sèmako Justin Dèdèwanou +9 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The first‐ and second‐order wave equations of Benjamin–Ono control the propagation of nonlinear Rossby waves in a rotating fluid and define a broad class of internal waves in a stratified fluid of enormous depth. New solitary wave solutions and the modulation instability of the solutions for the first‐ and second‐order Benjamin–Ono partial differential
Wilson Osafo Apeanti +3 more
wiley +1 more source
New Solutions of Breaking Soliton Equation Using Softmax Method
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This study presents the application of a novel Softmax method to obtain exact analytical solutions of the breaking soliton equation, a nonlinear partial differential equation that models complex wave phenomena. By transforming the governing equation into an ordinary differential equation using a traveling wave transformation and constructing a solution
Nguyen Minh Tuan +3 more
wiley +1 more source
Index theory for heteroclinic orbits of Hamiltonian systems
, 2017 Index theory revealed its outstanding role in the study of periodic orbits of Hamiltonian systems and the dynamical consequences of this theory are enormous.
Hu, Xijun, Portaluri, Alessandro
core +1 more source
Multiple Homoclinics for a Class of Singular Hamiltonian Systems
Journal of Mathematical Analysis and Applications, 1997 The authors investigate a second order Hamiltonian system of the form \(\ddot u + \nabla V(u) = 0\) in \(\mathbb{R}^n\), where the potential has a unique strict global maximum at the origin \(p\) and a singular set \(S \not\ni p\) such that \(\mathbb{R}^n \backslash S\) is open, path-connected and has non-trivial fundamental group \(\pi_1 = G\).
CALDIROLI, Paolo, De Coster C.
openaire +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth‐order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones.
Dan Li, Yuhua Long, Ji Gao
wiley +1 more source
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