Results 21 to 30 of about 36,044 (276)
The Cauchy problem for a second-order nonlinear hyperbolic equation with initial data on a line of parabolicity [PDF]
Bulletin of the Australian Mathematical Society, 1979 In this paper we study the Cauchy problem for the second order nonlinear hyperbolic partial differential equationwith initial conditionswhereand |u|, |ux|, |uy| < ∞, y ≥ 0, r = r(x) ∈ C4(·), ν = ν(x) ∈ C4(·).These conditions on k, H, f, r, and ν are assumed to be satisfied in some sufficiently small neighborhood of the segment I, y = 0, in the upper
John Michael S Rassias
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TWO-DIMENSIONAL NON-AUTONOMOUS HYPERBOLIC EQUATION OF THE SECOND ORDER WITH POWER-LAW NONLINEARITIES [PDF]
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2017 И. В. Рахмелевич
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Journal of Computational and Applied Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Lingdi, Chen, Wenbin, Wang, Cheng
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Journal of Mathematical Analysis and Applications, 1983 AbstractThe aim of this paper is to consider an optimal control problem involving a class of nonlinear hyperbolic partial differential equations. A conditional gradient method is used to obtain an algorithm for solving the optimal control problem iteratively.
Wu, Z.S., Teo, K.L.
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Demonstratio Mathematica, 2023 In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong +4 more
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Bäcklund Transformations for Liouville Equations with Exponential Nonlinearity
Axioms, 2021 This work aims to obtain new transformations and auto-Bäcklund transformations for generalized Liouville equations with exponential nonlinearity having a factor depending on the first derivatives.
Tatyana V. Redkina +3 more
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On the Cauchy problem for a certain nonlinear hyperbolic partial differential equation of the second order [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1970 Masayoshi Tsutsumi
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Nonlinear Engineering, 2023 Two numerical regimes for the one- and two-dimensional hyperbolic telegraph equations are contrasted in this article. The first implemented regime is uniform algebraic trigonometric tension B-spline DQM, while the second implemented regime is uniform ...
Kapoor Mamta
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Mathematical Biosciences and Engineering, 2021 We investigate the propagation of uncertainties in the Aw-Rascle-Zhang model, which belongs to a class of second order traffic flow models described by a system of nonlinear hyperbolic equations. The stochastic quantities are expanded in terms of wavelet-
Stephan Gerster +2 more
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Novel soliton solutions for the fractional three-wave resonant interaction equations
Demonstratio Mathematica, 2022 In this article, we obtained new infinite sets of exact soliton solutions for the nonlinear evolution system of three-wave resonant interaction equations.
Alqaraleh Sahar M., Talafha Adeeb G.
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