Results 1 to 10 of about 1,395,730 (272)
The Bifurcations of Traveling Wave Solutions of the Kundu Equation
Journal of Applied Mathematics, 2013 We use the bifurcation method of dynamical systems to study the bifurcations of traveling wave solutions for the Kundu equation. Various explicit traveling wave solutions and their bifurcations are obtained.
Yating Yi, Zhengrong Liu
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Extended Gâ²G-expansion method for CalogeroâBogoyavlinskiiâSchiff equation of fractional order
Journal of Taibah University for Science, 2017 In this paper, we explore new applications of the extended Gâ²G-expansion method. We apply this method to the nonlinear CalogeroâBogoyavlinskiiâSchiff equation of fractional order.
Syed Tauseef Mohyud-Din, Fitnat Saba
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Traveling wave solutions of a moderate amplitude shallow water wave model
四川大学学报. 自然科学版, 2017 The author studies the traveling wave solutions of a shallow water wave model with moderate amplitude by qualitative analysis methods of planar dynamical systems. Using the dynamical properties of the integrable systems, we discuss the bifurcation of its
SHI Yi-Xia, ZHONG Ji-Yu
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Research on Dual-End Traveling Wave Ranging Based on Wave Energy Calculator
EnergiesTo address the low positioning accuracy of traditional traveling wave methods in distribution networks due to their limited wavefront characteristics, this study expands the perspective from wavefronts to the entire traveling wave.
Sizu Hou, Zhiyu Zhang, Xiaojing Su
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Newton’s second law analogy for the traveling wave of nuclear burning
EPJ Nuclear Sciences & Technologies, 2020 We consider a model of neutron-nuclear wave burning. The traveling wave of nuclear burning of the medium is initiated by an external neutron source and is the basis for the new generation reactors the so-called “traveling-wave reactors”.
Urbanevych Vitalii +3 more
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Rigidity of Stratospheric Travelling Waves
Communications in Mathematical PhysicsAbstract We present some rigidity results for travelling waves that propagate zonally in bands of latitude in the stratosphere of the outer planets. Such waves arise as perturbations of a background zonally shear flow. The f-plane and $$\beta $$ β
Constantin, Adrian, Shao, Hua, Zhu, Hao
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Traveling wave solutions of compressible fluid equations and orbital stability
AIP Advances, 2015 In this paper, we discuss the existence of traveling wave solutions for compressible fluid equations by applying the theory and method of planar dynamical system, and obtain explicit expressions for all bounded traveling wave solutions by undetermined ...
Xiang Li, Weiguo Zhang, Zhengming Li
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Propagation dynamics for a competitive-cooperative recursion system with monostable structure
Mathematics OpenIn this study, monostable traveling wave solutions were considered for a competitive-cooperative recursive system. We demonstrate the existence of monostable traveling wave solutions for these systems under suitable conditions by employing the theory of ...
Renhu Wang, Xuezhong Wang
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Locally Induced Traveling Waves Generate Globally Observable Traveling Waves
The Journal of NeuroscienceCortical traveling waves have been proposed as a fundamental mechanism for neural communication and computation. Methodological uncertainties currently limit the interpretability of noninvasive, extracranial traveling wave data, sparking debates about their cortical origin. Studies using EEG or MEG typically report waves that cover
Kirsten Petras +2 more
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Abstract and Applied Analysis, 2013 This paper is concerned with traveling wave fronts for a degenerate diffusion equation with time delay. We first establish the necessary and sufficient conditions to the existence of monotone increasing and decreasing traveling wave fronts, respectively.
Weifang Yan, Rui Liu
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