Some Complexiton Type Solutions of the (3+1)-Dimensional Jimbo-Miwa Equation
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.
Jimbo-Miwa equation, painleve analysis, Hirota's bilinear form, computerized symbolic computation.
A Scenario Oriented Supplier Selection by Considering a Multi Tier Supplier Network
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.
Supply Chain Management (SCM), SupplierSelection, Second Tier Supplier, Scenario Planning, Green Factor,Linear Programming, Fuzzy Set Theory
Multiple Soliton Solutions of (2+1)-dimensional Potential Kadomtsev-Petviashvili Equation
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.
Hirota bilinear method, potential Kadomtsev-Petviashvili equation, multiple soliton solutions, multiple singular soliton solutions.
Universal Kinetic Modeling of RAFT Polymerization using Moment Equations
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.
RAFT Polymerization, Mechanism, Kinetics,Moment Equations, Modeling.
Exact Three-wave Solutions for High Nonlinear Form of Benjamin-Bona-Mahony-Burgers Equations
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.
Benjamin-Bona-Mahony-Burgers equations, Hirota's bilinear form, three-wave method.
New Exact Solutions for the (3+1)-Dimensional Breaking Soliton Equation
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.
(3+1)-dimensional breaking soliton equation, Hirota'sbilinear form.
Traveling Wave Solutions for the (3+1)-Dimensional Breaking Soliton Equation by (G'/G)- Expansion Method and Modified F-Expansion Method
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.
Exact solution, The (3+1)-dimensional breaking soliton equation, ( G G )-expansion method, Riccati equation, Modified Fexpansion method.
Some Exact Solutions of the (2+1)-Dimensional Breaking Soliton Equation using the Three-wave Method
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.
Soliton solution, computerized symbolic computation,painleve analysis, (2+1)-dimensional breaking soliton equation, Hirota's bilinear form.
New Application of EHTA for the Generalized(2+1)-Dimensional Nonlinear Evolution Equations
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.
EHTA, (2+1)-dimensional CBS equations, (2+1)-dimensional breaking solution equation, Hirota's bilinear form.
Monte Carlo Simulation of Copolymer Heterogeneity in Atom Transfer Radical Copolymerization of Styrene and N-Butyl Acrylate
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%.
Atom Transfer Radical Copolymerization, MonteCarlo Simulation, Copolymer Heterogeneity, Styrene n-ButylAcrylate