Salas, Gomez and Heranańdez [A.Y. Salas S., C.A. Gomez S., J.E.C Hernańdez, New abundant solutions for tha Burgers equation, Computers and Mathematics with Applications 58 (2009) 514 -520] presented 70 ”new exact solutions” of a ”generalized version” of the Burgers equation. In this comment we show that all 70 solutions by these authors are not new and cannot be new. PACS: 02.30.Jr Ordinary dif...

We introduce a family of stationary coupled Sasamoto-Spohn models and show that, in the weakly asymmetric regime, they converge to energy solution Burgers equations. Moreover, we that any system equations satisfying so-called trilinear condition ensuring stationarity can be obtained as scaling limit suitable models. The core our proof, which avoids use spectral gap estimates, consists second or...

In this paper, the boundary value inverse problem related to generalized Burgers–Fisher and Burgers–Huxley equations is solved numerically based on a spline approximation tool. B-splines with quasilinearization Tikhonov regularization methods are used obtain new numerical solutions problem. First, method linearize equation in specific time step. Then, linear combination of approximate largest o...

In this work, we consider the forced generalized Burgers-Huxley equation and establish existence uniqueness of a global weak solution using Faedo-Galerkin approximation method. Under smoothness assumptions on initial data external forcing, also obtain further regularity results solutions. Taking forcing to be zero, positivity result as well bound classical are estab...

In this paper, the unsteady oscillatory flows of a generalized Burgers’ fluid in a rotating frame are investigated. The constitutive equations of the generalized Burgers’ fluid are used in the mathematical formulation of the problem. The solutions are obtained by using the Laplace transform method. The graphical results are displayed and discussed for various parameters of interest. It is found...

We derive a probabilistic interpretation of generalized solution the Cauchy problem for three-dimensional system magneto-hydrodynamics equations called MHD-Burgers system. First we regularize under consideration and prove that there exists unique measurevalued regularized Next justify limiting procedure with respect to regularization parameter and, as consequence, existence uniqueness original ...