[PDF] Top 20 Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology

... tanh-sech method [2]-[4], extended tanh-method [5]-[7], exp ( − ϕ ξ ( ) ) [8]- [11], homogeneous balance method [12], F-expansion method [13]-[15], exp-function ... See full document

... Equation (39) was derived by Kudryashov and Pickering [39] as a member of a(2 + 1) Schwarzian breaking soliton hierarchy. The above equation also appeared in [40] as one of the equations associated to nonisospectral ... See full document

... In our design, we also added an open fluidic chamber made of PDMS on top of the nanoaperture array. Before this addition, we observed that when the fluidic environment is open, i.e. the reservoir is larger than 2 cm, the ... See full document

... exhibiting dissimilar soil environments for up to 42 days. Extracts of the metacarpophalangeal (MCP) and metatarsophalangeal (MTP) joint cartilage from trotters disinterred weekly over 6 weeks were analysed by Western ... See full document

... The experimental configuration for lens characterization is shown in Fig. 3.10. The probe beam is focused through an objective lens and scattered by a scattering lens, which is a 5.6 µm thick layer of ZnO particles ... See full document

... an extended Jacobian elliptic function expansion method is proposed for construct- ing the exact solutions of nonlinear evolution ...the method are tested by its ... See full document

... practical applications. For example, pattern formation in biology, viscous fluid flow phenomena, chemical reactions, biomolecule electrostat- ics and crystal growth [6; 7; 8; 9; 10; ... See full document

... the extended Jacobian elliptic function expansion method is used as the first time to evaluate the exact traveling wave solutions of nonlinear evolution ...the method are ... See full document

... This lecture outlines the basis for the entropy generation minimization method, and a series of key applications in power generation, refrigeration, and energy conservation. The lecture begins with a review ... See full document

... chemistry, biology, fluid dynamics, plasma, optical fibers and other areas of ...tanh method [1–3], extended tanh function method [4, 5], the modified extended tanh ... See full document

... and biology, ...transform method [1], Hirota.s bilinear method [2,3], B¯acklund transform method [4], homogeneous balance method [5,6], truncated Painleve expansion method ... See full document

... and Alexander [8]. More specifically, we will study the extended Kantorovich method for the case n = 2, which has been used extensively in the analysis of stress on rectangular plates. Equivalently, we will ... See full document

... method is based on enrichment of displacement field. In XFEM, finite element mesh is produced regardless of existence and location of discontinuity. Nodes around discontinuity are selected to be enriched; thus, ... See full document

... denotes the p-Laplacian operator, 1 ≤ q < p < N,α, β > 1 satisfy p < α β ≤ p ∗ , and f, g, h are continuous functions on Ω which are somewhere positive but which may change sign on Ω. We establish the ... See full document

... 10. Hamedani G. G., Altun, E, Korkmaz, M. C., Yousof, H. M. and Butt, N. S. (2018). A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. ... See full document

... The threshold expansion (3.5) of the NNLO coefficient function is shown in Fig. 1 for a stan- dard choice of the renormalization/factorization scale µ . Keeping only the highest two logarithms is obviously ... See full document

... In the practice of analyzing real phenomena of nature one frequently uses the Rayleigh, Exponential, or Weibull distributions. These models possess numerous desirable properties and nice interpretations of its ... See full document

... Assumption (i) means that none of the commodities has a zero equilibrium price. Assump- tion (ii) means that each ‘own-good’ price effect dominates the sum of the effects of the respective price on all other markets. ... See full document

... same method, We obtain the similar integrals about the multivariable I-function defined by Prasad [23], multivariable I-function defined by Prathima et ... See full document

... Externalising surface schemes from upper-air atmospheric models has many advantages. If the interface between the different parts is defined in a flexible manner (see Best et al., 2004, for an example), then it provides ... See full document