and Applied Analysis 3 of φj (j = 0, 1, . . . , 5) to zero, we finally end up with a system of algebraic equations, namely,

Entanglement is the fundamental difference between classical and quantum systems has become one of guiding principles in exploration high- low-energy physics. The calculation entanglement entropies interacting field theories, however, remains challenging. Here, we present first method for explicit computation reduced density matrices theories using truncated Hamiltonian methods. based on constr...

A ll three teams honored in this year’s Gordon Bell Prize competition benefited from new or scaled-up hardware introduced since work for last year’s competition was completed. While the gap in raw performance between the price/performance and performance winners narrowed, the ratio was still more than 300. All 1996 finalists in the annual competition, which recognizes significant achievements i...

In this paper, the Laplace Decomposition Method (LDM) employed to obtain approximate analytical solutions of the Klein-Gordon equation. The results show that the method converges rapidly and approximates the exact solution very accurately using only few iterates of the recursive scheme.

Abstract In [1] Varsha and Jaferi proposed an iterative method for solving nonlinear functional equations, viz. nonlinear Voltera integral equations, algebraic equations and system of ordinary differential equations. Then Sachin and Varsha [2] implemented this method to solve linear and nonlinear partial differential equations of integer and fractional order. The aim of this article is to propo...

Our participation at TREC thi integrating dependency and analysis of external resources int system. In TREC-13, we have p dependency relation matching t extraction for factoid and list que showed that the technique is ef extraction within the corpus. H also identified some problems an this technique. First, dependency does not perform well on short have only very few key terms. Th integrate que...

A spatially discrete version of the general kink-bearing nonlinear Klein-Gordon model in (1 + 1) dimensions is constructed which preserves the topological lower bound on kink energy. It is proved that, provided the lattice spacing h is suuciently small, there exist static kink solutions attaining this lower bound centred anywhere relative to the spatial lattice. Hence there is no Peierls-Nabarr...

A spatially discrete version of the general kink-bearing nonlinear Klein-Gordon model in (1 + 1) dimensions is constructed which preserves the topological lower bound on kink energy. It is proved that, provided the lattice spacing h is sufficiently small, there exist static kink solutions attaining this lower bound centred anywhere relative to the spatial lattice. Hence there is no Peierls-Naba...

Consider the Klein–Gordon–Zakharov equations in $${\mathbb {R}}^{1+2}$$ , and we are interested establishing small global solution to investigating pointwise asymptotic behavior of solution. The can be regarded as a coupled semilinear wave Klein–Gordon system with quadratic nonlinearities which do not satisfy null conditions, fact that components decay sufficiently fast makes it harder conduct ...