The modified (w/g)-expansion method for finding traveling wave solutions of nonlinear evolution equations is presented in this paper, which can be thought of as the generalization of the well-known (G′/G)-expansion method given recently by Wang et al. When the w and g are taken special choices, some familiar expansion methods can be obtained. Based on these interesting results, we further give ...

The purpose of this article is to present an analytical method, namely the improved F-expansion method combined with the Riccati equation, for finding exact solutions of nonlinear evolution equations. The present method is capable of calculating all branches of solutions simultaneously, even if multiple solutions are very close and thus difficult to distinguish with numerical techniques. To ver...

The paper deals with Euler'sand Taylor's expansion methods for next numerical solution in Matlab environment. There are many applications in technical practise described and modelled by linear or non-linear differential equation (DE) systems. A fictitious exciting functions method makes possible numerical solution of this DE system with non-stationary matrices. The solution of examples with non...

The copper oxide (CuO) nanowires/functionalized graphene (f-graphene) composite material was successfully composed by a one-pot synthesis method. The f-graphene synthesized through the Birch reduction chemistry method was modified with functional group "-(CH₂)₅COOH", and the CuO nanowires (NWs) were well dispersed in the f-graphene sheets. When used as anode materials in lithium-ion batteries, ...

It is important to seek for more explicit exact solutions of nonlinear partial differential equations (NLPDEs) in mathematical physics. With the help of symbolic computation software like Maple or Mathematica, much work has been focused on the various extensions and applications of the known methods to construct exact solutions of NLPDEs. Mathematical modelling of physical systems often leads t...

In this work, the F-expansion method is used to find exact solutions of space-time fractional modified Benjamin Bona Mahony equation and nonlinear time Schrödinger with beta derivative. One most efficient significant methods for obtaining new equations method. With aid Maple, more defined by Jacobi elliptic function are obtained. Hyperbolic some expressed trigonometric functions gained in case ...

the charge transfer (ct) complex formation of benzonitrile as acceptor with the aromatic donors o-, m-, p-xylene and ethylbenzene in ccl4 solutions is investigated by chemical shift measurements relative to an external reference. the equilibrium parameters, q and dad of their weak molecular complexes, as found numerically modified cresswel- allred (c-a) method, is compared with graphically scat...

In this paper, we investigate and analyze the cosmological dynamics of the universe, with an effect of modified f(R) gravity emerging at cosmological scale. We choose the Einstein frame as a physical frame. We consider phase portraits of the universe at the late time from modified f(R) gravity model. This result gives our universe an acceleration phase expansion without introducing existence of...