Results 11 to 20 of about 9,237 (213)
Partial Differential Equations in Applied Mathematics, 2022 In this paper I give a short review on the continuous, semi-discrete and discrete Burgers equations, which are featured as integrable equations that are linearisable.
Da-jun Zhang
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Journal of Differential Equations, 1998 The theory of generalized Burgers-type equations with a fractional power of the Laplacian in the principal part and with a general algebraic nonlinearity is presented. Such equations naturally appear in continuum mechanics. The given results include existence, uniqueness, regularity, asymptotic behavior of solutions to the Cauchy problem and a ...
Biler, Piotr +2 more
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Multidimensional Stochastic Burgers Equation [PDF]
SIAM Journal on Mathematical Analysis, 2014 We consider multidimensional stochastic Burgers equation on the torus $\mathbb{T}^d$ and the whole space $\Rd$. In both cases we show that for positive viscosity $ >0$ there exists a unique strong global solution in $L^p$ for $p>d$. In the case of torus we also establish a uniform in $ $ a priori estimate and consider a limit $ \todown 0$ for ...
Brzeźniak, Zdzisław +2 more
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Complex-Valued Burgers and KdV–Burgers Equations [PDF]
Journal of Nonlinear Science, 2010 Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T, there exists an explicit initial data such that its corresponding solution of the Burgers equation blows up at T.
Khanal, Netra +3 more
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Journal of Applied Mathematics, 2014 We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
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Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers’ equation
Open Physics, 2015 A variant of the subdomain Galerkin method has been set up to find numerical solutions of the Burgers’ equation. Approximate function consists of the combination of the trigonometric B-splines.
Ay Buket +2 more
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Journal of Applied Mathematics, 2012 The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- (Intermediate Long Waves-) Burgers equation as a model governing the amplitude of solitary waves is ...
Hongwei Yang +3 more
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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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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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