Gauge equivalence between the two-dimensional continuous classical Heisenberg ferromagnets(CCHF) of spin 1 2 -the M-I equation with singleside anisotropy and the Zakharov equation(ZE) is established for the easy axis case. The anisotropic CCHF is shown to be gauge equivalent to the isotropic CCHF. Preprint CNLP-1994-05. Alma-Ata.1994 In the study of 1+1 dimensional ferromagnets, a well known La...

A quantization procedure without Hamiltonian is reported which starts from a statistical ensemble of particles of mass m and an associated continuity equation. The basic variables of this theory are a probability density ρ, and a scalar field S which defines a probability current ~j = ρ∇S/m. A first equation for ρ and S is given by the continuity equation. We further assume that this system may...

In this paper, we use the continuous Legendre wavelets on the interval [0,1] constructed by Razzaghi M. and Yousefi S. [6] to solve the linear second kind integral equations. We use quadrature formula for the calculation of the products of any functions, which are required in the approximation for the integral equations. Then we reduced the integral equation to the solution of linear algebraic ...

We deal with symmetry properties for solutions of nonlocal equations of the type (−∆) s v = f (v) in R n , where s ∈ (0, 1) and the operator (−∆) s is the so-called fractional Laplacian. The study of this nonlocal equation is made via a careful analysis of the following degenerate elliptic equation −div (x α ∇u) = 0 on R