Soliton solutions of Burgers equations and perturbed Burgers equation

2010 ◽  
Vol 216 (11) ◽  
pp. 3370-3377 ◽  
Author(s):  
Anwar Ja’afar Mohamad Jawad ◽  
Marko D. Petković ◽  
Anjan Biswas
Keyword(s):  
Burgers Equation ◽  
Soliton Solutions ◽  
Burgers Equations

Generalized Burgers Equations Transformable to the Burgers Equation

2011 ◽  
Vol 127 (3) ◽  
pp. 211-220 ◽  
Author(s):  
B. Mayil Vaganan ◽  
T. Jeyalakshmi
Keyword(s):  
Burgers Equation ◽  
Burgers Equations

Classification and Recursion Operators of Dark Burgers’ Equation

2018 ◽  
Vol 73 (2) ◽  
pp. 175-180 ◽  
Author(s):  
Mei-Dan Chen ◽  
Biao Li
Keyword(s):  
Symbolic Computation ◽  
Free Parameter ◽  
Burgers Equation ◽  
Differential Polynomial ◽  
Higher Order ◽  
Recursion Operators ◽  
Burgers Equations ◽  
Dual Symmetry ◽  
Free Parameters

AbstractWith the help of symbolic computation, two types of complete scalar classification for dark Burgers’ equations are derived by requiring the existence of higher order differential polynomial symmetries. There are some free parameters for every class of dark Burgers’ systems; so some special equations including symmetry equation and dual symmetry equation are obtained by selecting the free parameter. Furthermore, two kinds of recursion operators for these dark Burgers’ equations are constructed by two direct assumption methods.

scholarly journals Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2326
Author(s):  
Noufe H. Aljahdaly ◽  
Ravi P. Agarwal ◽  
Rasool Shah ◽  
Thongchai Botmart
Keyword(s):  
Fractional Order ◽  
Decomposition Method ◽  
Fractional Derivatives ◽  
Burgers Equation ◽  
Singular Kernel ◽  
Exact Results ◽  
Burgers Equations ◽  
Kernel Operators ◽  
Natural Decomposition

In this article, we have investigated the fractional-order Burgers equation via Natural decomposition method with nonsingular kernel derivatives. The two types of fractional derivatives are used in the article of Caputo–Fabrizio and Atangana–Baleanu derivative. We employed Natural transform on fractional-order Burgers equation followed by inverse Natural transform, to achieve the result of the equations. To validate the method, we have considered a two examples and compared with the exact results.

scholarly journals Numerical approximation of coupled 1D and 2D non-linear Burgers’ equations by employing Modified Quartic Hyperbolic B-spline Differential Quadrature Method

2021 ◽  
Vol 15 ◽  
pp. 37-55
Author(s):  
Mamta Kapoor ◽  
Varun Joshi
Keyword(s):  
Present Method ◽  
Numerical Approximation ◽  
Numerical Solutions ◽  
Burgers Equation ◽  
Differential Quadrature Method ◽  
Quadrature Method ◽  
B Spline ◽  
Numerical Examples ◽  
Burgers Equations ◽  
Weighting Coefficients

In this paper, the numerical solution of coupled 1D and coupled 2D Burgers' equation is provided with the appropriate initial and boundary conditions, by implementing "modified quartic Hyperbolic B-spline DQM". In present method, the required weighting coefficients are computed using modified quartic Hyperbolic B-spline as a basis function. These coupled 1D and coupled 2D Burgers' equations got transformed into the set of ordinary differential equations, tackled by SSPRK43 scheme. Efficiency of the scheme and exactness of the obtained numerical solutions is declared with the aid of 8 numerical examples. Numerical results obtained by modified quartic Hyperbolic B-spline are efficient and it is easy to implement

Singularly Perturbed and Soliton Solutions to a Class of KdV-Burgers Equations

2021 ◽  
Vol 42 (9) ◽  
pp. 948-957
Author(s):  
BAO Liping ◽  
◽  
◽  
LI Ruixiang ◽  
WU Liqun ◽  
...  
Keyword(s):  
Soliton Solutions ◽  
Singularly Perturbed ◽  
Burgers Equations
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