Abstract We show that the Benjamin–Bona–Mahony (BBM) equation admits stable travelling wave solutions representing a sharp transition from constant state to periodic train. The is determined by parameters of train: length, amplitude and phase velocity, satisfies both generalized Rankine–Hugoniot conditions for exact BBM its averaged counterpart. Such shock-like structures exist if velocity trai...

In this study, we used a brush border membrane (BBM) preparation from human small intestine to analyze the proportion and the activity of major intestinal disaccharidases, including sucrase-isomaltase (SI), maltase-glucoamylase (MGAM) and lactase-phlorizin hydrolase (LPH). SI, MGAM and LPH respectively constituted 8.2%, 2.7% and 1.4% of total BBM protein. The activity of SI and LPH decreased th...

The present article is concerned with the numerical solution of Benjamin-BonaMahony-Burgers (BBM-Burger) equation by quartic B-spline collocation method. The method is based on quartic B-spline basis functions for space integration, and Crank-Nicolson formulation for time integration. Numerical examples considered by different researchers are discussed to illustrate the efficiency, robustness a...

Chlorella sorokiniana CS-01, UTEX 1230 and UTEX 2714 were maintained in 10% anaerobic digester effluent (ADE) from cattle manure digestion and compared with algal cultivation in Bold's Basal Medium (BBM). Biomass of CS-01 and UTEX 1230 in ADE produced similar or greater than 280mg/L after 21days in BBM, however, UTEX 2714 growth in ADE was suppressed by more than 50% demonstrating a significant...

The collective behaviour of soliton ensembles (i.e. the solitonic gas) is studied using the methods of the direct numerical simulation. Traditionally this problem was addressed in the context of integrable models such as the celebrated KdV equation. We extend this analysis to non-integrable KdV–BBM type models. Some high resolution numerical results are presented in both integrable and noninteg...

We consider a class of Boussinesq systems of Bona-Smith type in two space dimensions approximating surface wave flows modelled by the three-dimensional Euler equations. We show that various initial-boundary-value problems for these systems, posed on a bounded plane domain are well posed locally in time. In the case of reflective boundary conditions, the systems are discretized by a modified Gal...

The article analyzes 278 skeletons or graves from the Astrakhantsevsky burial mound (ABM), Basandaysky (BBM), and at mouth of Malaya Kirgiska River (MKBM) where were broken. These sites can be attributed to Basandaika Culture. They are located in Tomsky Shegarsky districts Tomsk Region. In all these mounds seven orientations identified: NE-SW, NNE-SSW, NW-SE, NNWSSE, NS, WE, WNW-ESE. indicating...

The green colonial microalga, Botryococcus braunii is well known for its high lipid content and has already been proposed as a renewable energy source for various aquaculture and biotechnological applications. However, due to its slow growth rate compared with other microalgae, B. braunii has not yet been used in mass culture to produce more biomass. Therefore, in this study we tested different...

In this paper we deal with the long time existence for the Cauchy problem associated to BBM-type Boussinesq systems of equations which are asymptotic models for long wave, small amplitude gravity surface water waves. As opposed to previous papers devoted to the long time existence issue, we consider initial data with nontrivial behaviour at infinity which may be used to model bore propagation.