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Traveling wave solutions for the two-dimensional Zakharov-Kuznetsov-Burgers equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper, the two-dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation is investigated. The basic set of fluid equations is reduced to ZKB equation.
G. Shaikhova, G. Shaikhova
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On Non-Commutative Integrable Burgers Equations [PDF]
Journal of Nonlinear Mathematical Physics, 2021 We construct the recursion operators for the non-commutative Burgers equations using their Lax operators. We investigate the existence of any integrable mixed version of left- and right-handed Burgers equations on higher symmetry grounds.
Gürses, M., Karasu, A., Turhan, R.
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Journal of Function Spaces, 2021 The generalized time-fractional, one-dimensional, nonlinear Burgers equation with time-variable coefficients is numerically investigated. The classical Burgers equation is generalized by considering the generalized Atangana-Baleanu time-fractional ...
Dumitru Vieru +3 more
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Mathematics, 2022 The generalized Logistic function that solves a first-order nonlinear ODE with an arbitrary positive power term of the dependent variable is introduced in this paper, by means of which the traveling wave solutions of a class of nonlinear evolution ...
Lingxiao Li +2 more
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Results in Physics, 2019 In this paper, the practice of the extended direct algebraic method (EDAM) is used to solve fractional Regularized Long Wave Burgers (RLW-Burgers) equation by means of the conformable derivative.
Zeliha Korpinar +4 more
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Results in Physics, 2022 The Schamel Burgers’ equation is a nonlinear partial differential equation which produces the shock type traveling waves in extraordinary physical situations. Previously, this sort of equation is solved with well known tan−hyperbolicmethod. In this paper,
Sanjaya Kr. Mohanty +2 more
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On the Numerical Solution of One-Dimensional Nonlinear Nonhomogeneous Burgers’ Equation
Journal of Applied Mathematics, 2014 The nonlinear Burgers’ equation is a simple form of Navier-Stocks equation. The nonlinear nature of Burgers’ equation has been exploited as a useful prototype differential equation for modeling many phenomena. This paper proposes two meshfree methods for
Maryam Sarboland, Azim Aminataei
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Playing with Burgers’s Equation [PDF]
, 2011 The 1D Burgers equation is used as a toy model to mimick the resulting behaviour of numerical schemes when replacing a conservation law by a form which is equivalent for smooth solutions, such as the total energy by the internal energy balance in the Euler equations.
Gallouët, Thierry +3 more
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Asymptotic profiles for a class of perturbed Burgers equations in one space dimension [PDF]
Opuscula Mathematica, 2018 In this article we consider the Burgers equation with some class of perturbations in one space dimension. Using various energy functionals in appropriate weighted Sobolev spaces rewritten in the variables \(\frac{\xi}{\sqrt\tau}\) and \(\log\tau\), we ...
F. Dkhil, M. A. Hamza, B. Mannoubi
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Derivation of Non-isotropic Phase Equations from a General Reaction-Diffusion Equation
, 2000 A non-isotropic version of phase equations such as the Burgers equation, the K-dV-Burgers equation, the Kuramoto-Sivashinsky equation and the Benney equation in the three-dimensional space is systematically derived from a general reaction-diffusion ...
Benney +10 more
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