Results 1 to 10 of about 85,433 (291)
Results in Physics, 2023 This study is used to investigate the exact explicit solutions and dynamical behaviors of the (1+1)-dimensional integrable system of Drinfel’d–Sokolov–Wilson equations in dispersive media.
Haifa I. Alrebdi +6 more
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Explicit solitary wave structure for the stochastic resonance nonlinear Schrödinger equation under Brownian motion with dynamical analysis [PDF]
Scientific ReportsThis study, analyzed the explicit solitary wave soliton for the stochastic resonance nonlinear Schrödinger equation under the Brownian motion. The Schrödinger equations are mostly used to describe how light moves via planar wave guides and nonlinear ...
Sumaira Nawaz +4 more
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Unveiling chaos and stability in advection diffusion reaction systems via advanced dynamical and sensitivity analysis [PDF]
Scientific ReportsThis paper focuses on the dynamical analysis of the advection-diffusion-reaction equation under various conditions that highlight the system’s sensitivity and potential for chaotic behavior.
Muhammad Moneeb Tariq +3 more
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Exploring soliton solutions and dynamical features of three dimensional Gardner Kadomtsov Petviashvili equation [PDF]
Scientific ReportsIn this paper, the dynamical features and soliton structures of the Gardner-Kadomtsov-Petviashvili equation in three dimensions are looked at. The Jacobi elliptic function method yields wave solutions that display distinct behaviors based on parameter ...
Amjad Hussain +3 more
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Results in Physics, 2023 The present article formally studies the propagation of optical pulses in a nonlinear medium governed by the nonlinear Kodama equation. For this purpose, the Lie symmetries group is first adopted for similarity reduction and constructing some exact ...
K. Hosseini +5 more
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Planar Dynamical Systems [PDF]
, 2014 This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's ...
Liu, Yirong, Li, Jibin, Huang, Wentao
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Coupled and Synchronization Models of Rhythmic Arm Movement in Planar Plane
Bioengineering, 2022 Nonlinear dynamics have become a new perspective on model human movement variability; however, it is still a debate whether chaotic behavior is indeed possible to present during a rhythmic movement.
Affiani Machmudah +2 more
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Existence of homoclinic orbit in generalized Liénard type system
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The object of this paper is to study the existence and nonexistence of an important orbit in a generalized Liénard type system. This trajectory is doubly asymptotic to an equilibrium solution, i.e., an orbit which lies in the intersection of the stable ...
Tohid Kasbi +2 more
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Complex planar Hamiltonian systems: Linearization and dynamics
Discrete & Continuous Dynamical Systems, 2021 By now, there are lots of known results on real planar Hamiltonian systems but very few known results on complex planar Hamiltonian systems. The study of the dynamics of complex planar Hamiltonian systems has not only its own theoretical importance but also many practical applications.
Shi, Hua, Zhang, Xiang, Zhang, Yuyan
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Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers
Results in Physics, 2022 The main purpose of this paper is to discuss the optical soliton solutions and phase portraits of the coupled Sasa–Satsuma model in nonlinear optics. This model is usually used to describe the propagation of femtosecond pulses in optical fibers. By using
Zhao Li +3 more
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