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The Maximal Regularity of Nonlinear Second-Order Hyperbolic Boundary Differential Equations
AxiomsIn this paper, we show the maximal regularity of nonlinear second-order hyperbolic boundary differential equations. We aim to show if the given second-order partial differential operator satisfies the specific ellipticity condition; additionally, if ...
Xingyu Liu
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Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System [PDF]
EntropyWe investigate a stochastic coupled nonlinear Schrödinger (Manakov-type) system for option price and volatility wave fields within the Ivancevic adaptive-wave option-pricing paradigm, and derive exact wave families together with statistical diagnostics ...
L. M. Abdalgadir +3 more
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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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Известия Иркутского государственного университета: Серия "Математика", 2021 The article considers second-order system of linear stochastic partial differential equations of hyperbolic type with Goursat boundary conditions. Earlier, in a number of papers, representations of the solution Goursat problem for linear stochastic ...
K.B. Mansimov, R.O. Mastaliyev
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Numerical modelling of macroscopic traffic flow based on driver physiological response using a modified wave propagation algorithm [PDF]
تصمیم گیری و تحقیق در عملیات, 2021 Purpose: In this paper, a novel numerical method, using the Godunov-type finite volume technique, the flux wave version of Modified Wave Propagation Algorithm (MWPA) with high-resolution is presented to solve one-dimensional second-order macroscopic ...
Morteza Araghi +2 more
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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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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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Ain Shams Engineering Journal, 2021 In this paper, Crank-Nicolson differential quadrature method based on cubic exponential B-spline (CExpB-spline) functions is presented to approximate the 1D nonlinear hyperbolic Sine-Gordon equation (SGE).
A.H. Msmali +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 For system of hyperbolic equations of second order a nonlinear boundary value problem with integral condition is considered. By introducing new unknown functions the investigated problem is reduced to an equivalent problem involving one-parametered ...
Anar Assanova
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