Nowadays NLEEs have been the subject of allembracing studies in various branches of nonlinear sciences. Most of the phenomena in real world can be described using non-linear equations. A nonlinear phenomenon plays a vital role in applied mathematics, physics and engineering branches. Many complex nonlinear phenomenons in plasma physics, fluid dynamics, chemistry, biology, mechanics, elastic med...

The exact traveling wave solutions of the nonlinear variable coefficients Burgers-Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized ( ′ G )-expansion method. As a result, hyperbolic, trigonometric and rational function solutions with parameters are obtained. When these parameters are taken special values, the solitary wave ...

in this paper, based on sinh-cosh method and sinh-gordon expansion method,families of solutions of (2+1)-dimensional breaking soliton equation are obtained.these solutions include jacobi elliptic function solution, soliton solution,trigonometric function solution.

Guided by the observed properties of hadrons I formulate a perturbative bound state method for QED and QCD. The expansion starts with valence Fock states ($e^+e^-,\ q\bar q,\ qqq,\ gg$) instantaneous interaction temporal gauge ($A^0=0$). is tested on Positronium atoms at rest in motion, including hyperfine splitting $O(\alpha^4)$, electromagnetic form factors deep inelastic scattering. Relativi...

We present a method that allows us to the find asymptotic form of various X characteristics of disordered systems in the strong localization regime, i.e., when either the random potential is big enough or the energy is close enough to the spectrum edges. The method is based on the hypothesis that relevant realizations of the random potential in the strong localization regime have the form of de...

We analyse the dynamics of relativistic bubble expansion during first order phase transition focusing on ultra velocities $\gamma\gg 1$. show that fields much heavier than scale can significantly contribute to friction and modify motion wall leading interesting phenomenological consequences. NLO effects due soft vector field emission are reviewed as well.

In this Letter, we present for the first time a calculation of complete next-to-leading order corrections to $gg \to ZH$ process. We use method small mass expansion tackle most challenging two-loop virtual amplitude, in which top quark dependence is retained throughout calculations. show that our provides reliable numeric results all kinematic regions, and phenomenological predictions total dif...

We present an analytical calculation of the next-to-next-to-leading order corrections to the partial decay width H → gg for a Higgs boson in the intermediate mass range. We apply an asymptotic expansion for MH ≪ 2Mt and compute three terms in the expansion. The leading term confirms the results present in the literature. It is argued that our result is equivalent to an exact calculation up to M...

One-loop amplitudes are to a large extent determined by their unitarity cuts in four dimensions. We show that the remaining rational terms can be obtained from the ultraviolet behaviour of the amplitude, and determine universal form factors for these rational parts by applying reduction techniques to the Feynman diagrammatic representation of the amplitude. The method is valid for massless and ...

A genetic model-free method for the meta-analysis of genetic association studies is described that estimates the mode of inheritance from the data rather than assuming that it is known. For a bi-allelic polymorphism, with G as risk allele and g as wild-type, the genetic model depends on the ratio of the two log odds ratios, lambda = log OR(Gg)/log OR(GG), where OR(GG) compares GG with gg and OR...