let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . in this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . as an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via the linear operator .

A theory of non-homogeneous turbulence is developed and applied to boundary-free shear flows. The introduces assumptions inner outer similarity for the non-homogeneity two-point statistics predicts power law scalings second-order structure functions which have some similarities with but also differences from Kolmogorov scalings. These arise as a consequence these assumptions, general inter-scal...

Consider an n × n system of hyperbolic balance laws with coinciding shock and rarefaction curves. This note proves the well posedness in the large of this system, provided there exists a domain that is invariant both with respect to the homogeneous conservation law and to the ordinary differential system generated by the right hand side. No “non-resonance” hypothesis is assumed. 2000 Mathematic...

Some new generalized solitary solutions of the Klein–Gordon–Schrödinger equations are obtained using the Exp-function method, which include some known solutions obtained by the F-expansion method and the homogeneous balance method in the open literature as special cases. It is shown that the Exp-function method is a straight, concise, reliable and promising mathematical tool for solving nonline...

Abstract: In this paper, through a new transformation, the combined KdvBurgers equation with variable coefficients(vcKdvB) is reduced to a new simplified equation.Based on the homogeneous balance principle(HBP),we studied the Backlund transformation(BT) and several exact soliton-like solutions to this vcKdvB equation. Including single kink-like solitary wave solutions, double-soliton-like solut...

Diffusion approximations are obtained for time-homogeneous linear transport models with reflecting boundary conditions. The collision kernel is not required to satisfy any balance condition and the scattering kernel on the boundary is general enough to include all examples of boundary conditions known to the authors (with conservation of the number of particles) and, in addition, to model the D...

We consider a semi-discrete car-following model and the macroscopic Aw–Rascle model for traffic flow given in Lagrangian form. The solution of the car-following model converges to a weak entropy solution of the system of hyperbolic balance laws with Cauchy initial data. For the homogeneous system, we allow vacuum in the initial data. By using properties of the semi-discrete model, we show that ...

The aim of this paper is to obtain a set traveling wave solutions for klein –Gorden equation with kerr law non-linearity. More precisely, we apply new path popularized homogeneous balance (HB) method in terms using linear auxiliary equations find the results non-linear klein-Gorden equation, which fundamental approach determine competent solutions. are achieved as integration exponential, hyper...