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Meromorphic solutions of generalized inviscid Burgers’ equations and related PDES
Comptes Rendus. Mathématique, 2021 The purposes of this paper are twofold. The first one is to describe entire solutions of certain type of PDEs in $\mathbb{C}^n$ with the modified KdV-Burgers equation and modified Zakharov-Kuznetsov equation as the prototypes.
Lü, Feng
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Parabolic regularization of the gradient catastrophes for the Burgers-Hopf equation and Jordan chain
, 2018 Non-standard parabolic regularization of gradient catastrophes for the Burgers-Hopf equation is proposed. It is based on the analysis of all (generic and higher order) gradient catastrophes and their step by step regularization by embedding the Burgers ...
Konopelchenko, B. G., Ortenzi, G.
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q-Analogue of Shock Soliton Solution [PDF]
, 2010 By using Jackson's q-exponential function we introduce the generating function, the recursive formulas and the second order q-differential equation for the q-Hermite polynomials.
Cigler J Zeng J +7 more
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Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain
Results in Physics, 2016 The present paper reports a theoretical study of the dynamics of an electroosmotic flow (EOF) in cylindrical domain. The Cauchy momentum equation is first simplified by incorporating the electrostatic body force in the electric double layer and the ...
Masood Khan +3 more
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New Multiple Solution to the Boussinesq Equation and the Burgers-Like Equation
Journal of Applied Mathematics, 2013 By considering an improved tanh function method, we found some exact solutions of Boussinesq and Burgers-like equations. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions.
Hasan Bulut, Münevver Tuz, Tolga Akturk
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Two-dimensional Burgers Cellular Automaton
, 2001 A two-dimensional cellular automaton(CA) associated with a two-dimensional Burgers equation is presented. The 2D Burgers equation is an integrable generalization of the well-known Burgers equation, and is transformed into a 2D diffusion equation by the ...
Chowdhury D. +13 more
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AIP Advances, 2013 This article describes a new implicit finite-difference method: an implicit logarithmic finite-difference method (I-LFDM), for the numerical solution of two dimensional time-dependent coupled viscous Burgers’ equation on the uniform grid points.
Vineet K. Srivastava +2 more
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Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation
Discrete Dynamics in Nature and Society, 2012 We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given.
Hongwei Yang +3 more
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Ain Shams Engineering Journal, 2014 In this paper, the fractional partial differential equations are defined by modified Riemann–Liouville fractional derivative. With the help of fractional derivative and traveling wave transformation, these equations can be converted into the nonlinear ...
Ahmet Bekir, Özkan Güner
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, 2007 The last decades witnessed a renewal of interest in the Burgers equation. Much activities focused on extensions of the original one-dimensional pressureless model introduced in the thirties by the Dutch scientist J.M.
Bec, Jeremie, Khanin, Konstantin
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