Results 21 to 30 of about 544,293 (332)
Travelling Waves in the Ring of Coupled Oscillators with Delayed Feedback
Mathematics, 2023 We studied travelling waves in N nonlinear differential equations with a delay and large parameter. This system is important because it can be regarded as a phenomenological model of N-coupled neuron-like oscillators with delay.
Alexandra Kashchenko +2 more
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FUNCTIONAL EXPANSIONS FOR FINDING TRAVELING WAVE SOLUTIONS
Journal of Applied Analysis & Computation, 2020 Summary: The paper proposes a generalized analytic approach which allows to find traveling wave solutions for some nonlinear PDEs. The solutions are expressed as functional expansions of the known solutions of an auxiliary equation. The proposed formalism integrates classical approaches as tanh method or \(G^{\prime}/G\) method, but it open the ...
Ionescu, Carmen +2 more
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Soliton solution in nonlinear lattice with nearest neighbour Born–Mayer interaction
Journal of Taibah University for Science, 2017 We study the dynamics of one-dimensional uniform lattice with the interatomic Born–Mayer potential. The travelling wave solutions such as solitons are analytically described.
Muzzammil Ahmad Bhat +2 more
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Periodic Travelling Waves of the Modified KdV Equation and Rogue Waves on the Periodic Background [PDF]
Journal of nonlinear science, 2018 We address the most general periodic travelling wave of the modified Korteweg–de Vries (mKdV) equation written as a rational function of Jacobian elliptic functions.
Jinbing Chen, D. Pelinovsky
semanticscholar +1 more source
Bifurcation Approach to Analysis of Travelling Waves in Nonlocal Hydrodynamic-Type Models
Abstract and Applied Analysis, 2014 The paper considers the nonlocal hydrodynamic-type systems which are two-dimensional travelling wave systems with a five-parameter group. We apply the method of dynamical systems to investigate the bifurcations of phase portraits depending on the ...
Jianping Shi, Jibin Li
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Travelling Wave Solutions of the Schrödinger‐Boussinesq System [PDF]
Abstract and Applied Analysis, 2012 We establish exact solutions for the Schrödinger‐Boussinesq System iut + uxx − auv = 0, , where a and b are real constants. The (G′/G)‐expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the (G′/G)‐expansion method provides not only more general forms of solutions but also ...
Kılıcman, Adem, Abazari, Reza
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Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63] [PDF]
, 2011 In a recent paper [Abazari R. Application of (G′ G )-expansion method to travelling wave solutions of three nonlinear evolution equation. Computers & Fluids 2010;39:1957–1963], the (G′/G)-expansion method was used to find travelling-wave solutions to ...
Abazari +14 more
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IEEE Open Access Journal of Power and Energy, 2021 The fault location problem has been tackled mainly through impedance-based techniques, the travelling wave principle and more recently machine learning algorithms. These techniques require both current and voltage measurement.
Nicolas Cifuentes, Bikash C. Pal
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A generic travelling wave solution in dissipative laser cavity [PDF]
, 2016 A large family of cosh-Gaussian travelling wave solution of a complex Ginzburg–Landau equation (CGLE), that describes dissipative semiconductor laser cavity is derived. Using perturbation method, the stability region is identified.
A Biswas +48 more
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Analysis of Solutions, Asymptotic and Exact Profiles to an Eyring–Powell Fluid Modell
Mathematics, 2022 The aim of this article was to provide analytical and numerical approaches to a one-dimensional Eyring–Powell flow. First of all, the regularity, existence, and uniqueness of the solutions were explored making use of a variational weak formulation. Then,
José Luis Díaz +5 more
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