In this paper, based on the homogeneous balance principle and two improved projective Riccati Equations, exact solutions to the general form of BBM equation and the generalized BBM-Burgers equation with nonlinear terms of any order are obtained, which include several kinds of solitary wave solutions and periodic wave solutions. Some of them are found for the first time.

We apply the Painlevé test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting local generalized symmetries without any recursion operator. The Painlevé analysis easily detects that this is a typical C-integrable system in the Calogero sense and rediscov...

The probabilistic approach is used for constructing special layer methods to solve the Cauchy problem for semilinear parabolic equations with small parameter. Despite their probabilistic nature these methods are nevertheless deterministic. The algorithms are tested by simulating the Burgers equation with small viscosity and the generalized KPP-equation with a small parameter.

In this paper we obtain symmetry reductions and exact solutions of a Generalized Benjamin-BonaMahony-Burgers equation using the potential symmetries method. We use the free software MAXIMA program symmgrp2009.max derived by W. Heremann to calculate the determining equations. Key–Words: Potential symmetries, Partial differential equation, Free software

 Microbiological, chemical and sensory changes of fish burgers prepared from deep flounder (Pseudorhombus elevatus) and brushtooth lizardfish (Saurida undosquamis) were determined during storage at -18ºC for 5 months. Microbiological counts were including total plate count (TPC), total coliform (TC), Staphylococcus aureus, Psychotropic and Escherichia coli decreased throughout the frozen storag...

Abstract The Burgers-type equations are noticed in plasma astrophysics, ocean dynamics, atmospheric science, computational fluid mechanics, cosmology, condensed matter physics, statistical nonlinear acoustics, vehicular traffic, electronic transport, etc. This prompts us to examine an extended (2 + 1)-dimensional coupled Burgers system mechanics. We determine novel exact solutions by the Lie sy...

Ivo R. Peters1,2,∗ Matteo Madonia, Detlef Lohse, and Devaraj van der Meer Physics of Fluids, Faculty of Science and Technology and J.M. Burgers Centre for Fluid Dynamics, P.O. Box 217, 7500 AE Enschede, The Netherlands Engineering and the Environment, University of Southampton, Highfield, Southampton SO17 1BJ, UK Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany ...

ZORANA ZERAVCIC†, DETLEF LOHSE AND WIM VAN SAARLOOS Instituut Lorentz, University of Leiden, Niels Bohrweg 2, 2333 CA Leiden, The Netherlands Physics of Fluids Group, Mesa+ and Impact Research Institutes and Burgers Center for Fluid Dynamics, Department for Science and Technology, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands FOM Foundation, PO Box 3201, 3502 GA Utrecht, T...