Results 11 to 20 of about 284,848 (317)
Fractal and Fractional, 2023 The Korteweg–de Vries (KDV) equation is one of the most well-known models in nonlinear physics, such as fluid physics, plasma, and ocean engineering. It is very important to obtain the exact solutions of this model in the process of studying these topics.
Guojiang Wu, Yong Guo
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Robust adaptive filtering algorithms based on (inverse)hyperbolic sine function.
PLoS ONE, 2021 Recently, adaptive filtering algorithms were designed using hyperbolic functions, such as hyperbolic cosine and tangent function. However, most of those algorithms have few parameters that need to be set, and the adaptive estimation accuracy and ...
Sihai Guan +3 more
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Mathematics, 2023 The KPI equation is one of most well-known nonlinear evolution equations, which was first used to described two-dimensional shallow water wavs. Recently, it has found important applications in fluid mechanics, plasma ion acoustic waves, nonlinear optics,
Feiyun Pei, Guojiang Wu, Yong Guo
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Hyperbolic Harmonic Functions and Hyperbolic Brownian Motion [PDF]
Advances in Applied Clifford Algebras, 2020 Abstract We study harmonic functions with respect to the Riemannian metric $$\begin{aligned} ds^{2}=\frac{dx_{1}^{2}+\cdots +dx_{n}^{2}}{x_{n}^{\frac{2\alpha }{n-2}}} \end{aligned}$$ d s 2 = d x 1 2 + ⋯ + d x n 2 x n 2 α n - 2 in the upper half space $$\mathbb {R}_{+}^{n}=\{\left( x_{1},\ldots ,x_{n}\right) \in \mathbb
Sirkka-Liisa Eriksson, Terhi Kaarakka
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Automatika, 2020 The main contribution of this paper is to formulate a robust-adaptive and stable state-space speed control strategy for DC motors. The linear-quadratic-integral (LQI) controller is utilized as the baseline controller for optimal speed-regulation ...
Omer Saleem +3 more
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Hyperbolic Green Function Estimates [PDF]
Potential Analysis, 2020 AbstractFor a hyperbolic Brownian motion in the hyperbolic space $\mathbb {H}^{n}, n\ge 3$ ℍ n , n ≥ 3
M. Ryznar, G. Serafin, T. Żak
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On green’s function of second darboux problem for hyperbolic equation
Вестник КазНУ. Серия математика, механика, информатика, 2022 A definition and justify a method for constructing the Green’s function of the second Darboux problem for a two-dimensional linear hyperbolic equation of the second order in a characteristic triangle is given.
B. Derbissaly
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Gazi University Journal of Science, 2019 This article introduce hyperbolic functions connected to Horadam sequence. That is, we define hyperbolic Horadam functions and present their hyperbolic and recursive properties. We give some geometrical properties of hyperbolic Horadam functions.
BAHSI, Mustafa, SOLAK, Suleyman
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Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2023 A system with distributed parameters in its mechanical part is considered. Examples of such a system are given. The reason for taking into account the distribution of parameters in such systems is indicated.
A. P. Korneev +2 more
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Green function for hyperbolic media [PDF]
, 2012 We revisit the problem of the electromagnetic Green function for homogeneous hyperbolic media, where longitudinal and transverse components of the dielectric permittivity tensor have different signs.
Belov, Pavel A. +3 more
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