Abstract: A high-performance Monte Carlo simulation, which
simultaneously takes diffusion-controlled and chain-length-dependent
bimolecular termination reactions into account, is developed to
simulate atom transfer radical copolymerization of styrene and nbutyl
acrylate. As expected, increasing initial feed fraction of styrene
raises the fraction of styrene-styrene dyads (fAA) and reduces that of
n-butyl acrylate dyads (fBB). The trend of variation in randomness
parameter (fAB) during the copolymerization also varies significantly.
Also, there is a drift in copolymer heterogeneity and the highest drift
occurs in the initial feeds containing lower percentages of styrene, i.e.
20% and 5%.
Abstract: In this paper, the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (shortly CBS) equations are investigated. We employ the Hirota-s bilinear method to obtain the bilinear form of CBS equations. Then by the idea of extended homoclinic test approach (shortly EHTA), some exact soliton solutions including breather type solutions are presented.
Abstract: This paper considers the (2+1)-dimensional breaking soliton equation in its bilinear form. Some exact solutions to this equation are explicitly derived by the idea of three-wave solution method with the assistance of Maple. We can see that the new idea is very simple and straightforward.
Abstract: In this paper, using (G/G )-expansion method and modified F-expansion method, we give some explicit formulas of exact traveling wave solutions for the (3+1)-dimensional breaking soliton equation. A modified F-expansion method is proposed by taking full advantages of F-expansion method and Riccati equation in seeking exact solutions of the equation.
Abstract: In this work, we obtain some analytic solutions for the (3+1)-dimensional breaking soliton after obtaining its Hirota-s bilinear form. Our calculations show that, three-wave method is very easy and straightforward to solve nonlinear partial differential equations.
Abstract: By means of the idea of three-wave method, we obtain some analytic solutions for high nonlinear form of Benjamin-Bona- Mahony-Burgers (shortly BBMB) equations in its bilinear form.
Abstract: In the following text, we show that by introducing
universal kinetic scheme, the origin of rate retardation and inhibition
period which observed in dithiobenzoate-mediated RAFT
polymerization can be described properly. We develop our model by
utilizing the method of moments, then we apply our model to
different monomer/RAFT agent systems, both homo- and
copolymerization. The modeling results are in an excellent
agreement with experiments and imply the validity of universal
kinetic scheme, not only for dithiobenzoate-mediated systems, but
also for different types of monomer/RAFT agent ones.
Abstract: We employ the idea of Hirota-s bilinear method, to obtain some new exact soliton solutions for high nonlinear form of (2+1)-dimensional potential Kadomtsev-Petviashvili equation. Multiple singular soliton solutions were obtained by this method. Moreover, multiple singular soliton solutions were also derived.
Abstract: One of the main processes of supply chain
management is supplier selection process which its accurate
implementation can dramatically increase company competitiveness.
In presented article model developed based on the features of
second tiers suppliers and four scenarios are predicted in order to
help the decision maker (DM) in making up his/her mind. In addition
two tiers of suppliers have been considered as a chain of suppliers.
Then the proposed approach is solved by a method combined of
concepts of fuzzy set theory (FST) and linear programming (LP)
which has been nourished by real data extracted from an engineering
design and supplying parts company. At the end results reveal the
high importance of considering second tier suppliers features as
criteria for selecting the best supplier.
Abstract: By means of the extended homoclinic test approach (shortly EHTA) with the aid of a symbolic computation system such as Maple, some complexiton type solutions for the (3+1)-dimensional Jimbo-Miwa equation are presented.