Results 41 to 50 of about 9,237 (213)

Instantons in the Burgers equation [PDF]

Physical Review E, 1996
The instanton solution for the forced Burgers equation is found. This solution describes the exponential tail of the probability distribution function of velocity differences in the region where shock waves are absent; that is, for large positive velocity differences.
, Gurarie, , Migdal
openaire   +2 more sources

Computer modeling system for the numerical solution of the one-dimensional non-stationary Burgers’ equation

Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2019
The computer modeling system for numerical solution of the nonlinear one-dimensional non-stationary Burgers’ equation is described. The numerical solution of the Burgers’ equation is obtained by a meshless scheme using the method of partial solutions and
Garyachevskaya Irina V., Protektor Denys O.   +1 more
doaj   +1 more source

Insensitizing control of KDV–Burgers equations

Journal of Electrical Systems and Information Technology, 2018
This paper deals with the problem of insensitizing control of KDV–Burgers equation. This analysis produces a special type of null controllability, and shows that the nonlinear KDV–Burgers equation can be solved in terms of an insensitizing control.
Ravi Kumar Rajagounder, Chong Kil To
doaj   +1 more source

A Bivariate Chebyshev Spectral Collocation Quasilinearization Method for Nonlinear Evolution Parabolic Equations

The Scientific World Journal, 2014
This paper presents a new method for solving higher order nonlinear evolution partial differential equations (NPDEs). The method combines quasilinearisation, the Chebyshev spectral collocation method, and bivariate Lagrange interpolation.
S. S. Motsa, V. M. Magagula, P. Sibanda
doaj   +1 more source

Parameter estimation and adaptive solution of the Leray-Burgers equation using physics-informed neural networks

Results in Applied Mathematics
This study presents a unified framework that integrates physics-informed neural networks (PINNs) to address both the inverse and forward problems of the one-dimensional Leray-Burgers equation.
DooSeok Lee, Yuncherl Choi, Bong-Sik Kim
doaj   +1 more source

A Generalization of the Hopf-Cole Transformation

Symmetry, Integrability and Geometry: Methods and Applications, 2013
A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented.
Paulius Miškinis
doaj   +1 more source

NONHOMOGENEOUS FRACTIONAL BURGERS EQUATION

Momento, 2016
In this article we study solutions of the nonlinear fractional Burgers equation with a nonhomogeneous term associated with external forces. This equation is a generalization of the nonhomogeneous diffusion equation with an additional term that describes ...
Victor G. Buesaquillo, Alejandro Pérez, Alvaro Rugeles   +2 more
doaj   +1 more source

Numerical treatment of the generalized time-fractional Huxley-Burgers’ equation and its stability examination [PDF]

, 2021
Adel R. Hadhoud, Faisal E. Abd Alaal, Ayman A. Abdelaziz, Taha Radwan   +3 more
openalex   +1 more source

Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation

International Journal of Differential Equations, 2016
We investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained.
Manoj Gaur, K. Singh
doaj   +1 more source

A Non-Iteration Solution for Solving the Backward-in-Time Two-Dimensional Burgers’ equation with a Large Reynolds Number

, 2022
Yen-Shen Chang, Yung-Wei Chen, Chein‐Shan Liu, Jiang‐Ren Chang   +3 more
openalex   +2 more sources