The goal of this paper is to calculate of order reduction of the KdV typeequation and the non-isospectral KdV type equation using the μ-symmetrymethod. Moreover we obtain μ-conservation law of the non-isospectral KdVtype equation using the variational problem method.

We give a version of Noether theorem adapted to the framework of μ-symmetries; this extends to such case recent work by Muriel, Romero and Olver in the framework of λ-symmetries, and connects μ-symmetries of a Lagrangian to a suitably modified conservation law. In some cases this “μconservation law” actually reduces to a standard one; we also note a relation between μ-symmetries and conditional...

In this paper we discussed the self-adjointness of the Maxwell’s equations with variable coefficients ε and μ. Three different Lagrangian are attained. By the Legendre transformation, a multisymplectic Bridge’s (Hamilton) form is obtained. Based on the multisymplectic structure, the multisymplectic conservation law of the system is derived and a nine-point Preissman multisymplectic scheme which...

An improved adaptive filtering (IMPNLMS+) algorithm has been proposed for non-sparse impulse responses by incorporating an adaptive parameter μ of the μ-law compression into the improved μ-law PNLMS algorithm (IMPNLMS) algorithm. It not only achieves optimal step-size control factors but also overcomes that the convergence of classical μ-law PNLMS (MPNLMS) is even slower than conventional NLMS ...

The problem of describing the dynamics of a conserved energy in a cellular automaton in terms of local movements of “particles” (quanta of that energy) has attracted some people’s attention. The one-dimensional case was already solved by Fukś (2000) and Pivato (2002). For the two-dimensional cellular automata, we show that every (contextfree) conservation law can be expressed in terms of such p...

The effective supersymmetric theory (ESUSY) with R parity conservation cannot give a large anomalous magnetic moment of μ. It is pointed out that the flavor conservation and a large (g − 2)μ within the experimental limits are achievable in the ESUSY with R parity violating couplings involving the third generation superparticles. [

Conservation tillage (CT) systems have a number of potential benefits including lower crop production costs and the ability to reduce soil erosion that have made them common in several regions of the world. Although CT systems have been researched and successfully implemented on some farms in California's San Joaquin Valley (SJV), overall adoption is low and the reasons for the region's compara...

The effective supersymmetric theory (ESUSY) with R parity conservation cannot give a large anomalous magnetic moment of μ. It is pointed out that the flavor conservation and a large (g − 2)μ within the experimental limits are achievable in the ESUSY with R parity violating couplings involving the third generation superparticles. [

This paper describes how to use a CODEC (COder-DECoder) to encode, decode, synthesize and play AU-format audio data. The AU format use a μ -law (pronounced mu-law) compression technique improving dynamic range over the linear encoding of audio. The μ -law CODEC dates from 1965, yet is still in common use today.