Symmetries, travelling-wave and self-similar solutions of the Burgers hierarchy
type: Item
instance of: scholarly article
title: Symmetries, travelling-wave and self-similar solutions of the Burgers hierarchy
zbMATH Open document ID: 1411.35239
author: R. Sinuvasan
author: K. M. Tamizhmani
author: P. G. L. Leach
published in: Applied Mathematics and Computation
publication date: 2019-03-28T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A09
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35C06
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 7044138
zbMATH Keywords: Burgers equation
zbMATH Keywords: symmetries
zbMATH Keywords: integrability
describes a project that uses: SYM
MaRDI profile type: Publication
full work available at URL: j.amc.2017.01.036
OpenAlex ID: W2581433289
cites work: Integration of second order ordinary differential equations not possessing Lie point symmetries
cites work: On the systematic approach to the classification of differential equations by group theoretical methods
cites work: Generalized solutions to Burgers' equation
cites work: Galerkin Approximations for the Stochastic Burgers Equation
cites work: The modified trial equation method for fractional wave equation and time fractional generalized Burgers equation
cites work: On a quasi-linear parabolic equation occurring in aerodynamics
cites work: The first-integral method to study the Burgers–Korteweg–de Vries equation
cites work: Exponential nonlocal symmetries and nonnormal reduction of order
cites work: Travelling wave solutions of the modified Korteweg-deVries-Burgers equation
cites work: Exact solutions of equations for the Burgers hierarchy
cites work: Self-similar solutions of the Burgers hierarchy
cites work: Special polynomials associated with the Burgers hierarchy
cites work: The Cauchy problem for the equation of the Burgers hierarchy
cites work: Analytical and numerical studying of the perturbed Korteweg-de Vries equation
cites work: Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
cites work: Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
cites work: Q5596303
cites work: Q5550465
cites work: Q5550466
cites work: Q5550467
cites work: Evolution equations possessing infinitely many symmetries
DOI: 10.1016/J.AMC.2017.01.036
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description: scientific article; zbMATH DE number 7044138