Results 31 to 40 of about 8,315 (291)
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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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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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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A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]
, 2010 Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
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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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Neumann problem on the semi-line for the Burgers equation
, 2011 In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time.
Sommacal, Matteo, de Lillo, Silvana
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Holistic discretization ensures fidelity to Burgers' equation [PDF]
, 2001 I analyze a generalized Burgers' equation to introduce a new method of spatial discretization. The analysis is based upon center manifold theory so we are assured that the discretization accurately models the dynamics and may be constructed ...
Roberts, A. J., A.J. Roberts
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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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Lagrangian Averaging, Nonlinear Waves, and Shock Regularization [PDF]
, 2005 In this thesis, we explore various models for the flow of a compressible fluid as well as model equations for shock formation, one of the main features of compressible fluid flows.
Bhat, Harish Subrahmanya
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