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Results in Physics, 2022 The Burgers equation can describe some phenomena such as turbulence, shock wave and traffic flow dynamics problems. Under consideration in this paper is a discrete Burgers equation, which can be viewed as the discrete counterpart of Burgers equation ...
Ting Zhang, Xiao-Yong Wen, Zhe Lin
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State estimation based on nonlinear Kalman filter for fluid systems described by Burgers’ equation
Nihon Kikai Gakkai ronbunshu, 2021 Burgers’ equation is a fundamental equation for describing several flow phenomena such as traffic, shock waves, turbulence. Burgers’ equation consists of the advective and diffusive terms, which can be used to represent fundamental properties of flow ...
Takashi SHIMIZU, Tomoaki HASHIMOTO
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Reduction operators of Burgers equation.
J Math Anal Appl, 2013 The solution of the problem on reduction operators and nonclassical reductions of the Burgers equation is systematically treated and completed. A new proof of the theorem on the special "no-go" case of regular reduction operators is presented, and the representation of the coefficients of operators in terms of solutions of the initial equation is ...
Pocheketa OA, Popovych RO.
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Limits to Extensions of Burgers Equation [PDF]
Quarterly of Applied Mathematics, 1994 The vector Burgers’ equation is extended to include pressure gradients and gravity. It is shown that within the framework of the Cole-Hopf transformation there are no physical solutions to this problem. This result is important because it clearly demonstrates that any extension of Burgers’ equation to more interesting physical situations is strongly ...
Steven Nerney +2 more
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On One Initial Boundary Value Problem for the Burgers Equation in a Rectangular Domain [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 We consider some initial boundary value problems for the Burgers equation in a rectangular domain, which in a sense can be taken as a model one. The fact is that such a problem often arises when studying the Burgers equation in domains with moving ...
M.T. Jenaliyev +3 more
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Noncommutative Burgers equation [PDF]
Journal of Physics A: Mathematical and General, 2003 We present a noncommutative version of the Burgers equation which possesses the Lax representation and discuss the integrability in detail. We find a noncommutative version of the Cole-Hopf transformation and succeed in the linearization of it. The linearized equation is the (noncommutative) diffusion equation and exactly solved.
Hamanaka, Masashi, Toda, Kouichi
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The stochastic Burgers Equation [PDF]
Communications in Mathematical Physics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BERTINI L +2 more
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Adaptive Backstepping Boundary Control for a Class of Modified Burgers’ Equation
Fractal and Fractional, 2023 Burgers’ equation is used to describe wave phenomena in hydrodynamics and acoustics. It was derived originally as a prototype to provide analytic insight into the nature of turbulence and its modeling, and has found applications in the study of shock ...
Francisco Jurado +1 more
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Indonesian Journal of Information Systems, 2020 We solve the inviscid Burgers equation involving a logistic reaction. The goal is to investigate the effects of the logistic reaction to numerical solutions of the inviscid Burgers equation.
Sudi Mungkasi
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Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we characterize all traveling wave solutions of the Generalized Korteweg–de Vries–Burgers equation. In particular we recover the traveling wave solutions for the well-known Korteweg–de Vries–Burgers equation.
Claudia Valls
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