Complex Variable Tauberians

Complex Variable Outline

Application of the Kudryashov method and the functional variable method for the complex KdV equation

In this present work, the Kudryashov method and the functional variable method are used to construct exact solutions of the complex KdV equation. The Kudryashov method and the functional variable method are powerful methods for obtaining exact solutions of nonlinear evolution equations.

Analytic Number Theory, Complex Variable and Supercomputers1

This paper is the nal report of an undergraduate honors thesis project advised by Prof. Dennis Hejhal of the School of Mathematics, University of Minnesota. The main purpose of this project is to examine the analytic properties of certain \quantum-mechanical particles" in Lobachevsky space. The results were obtained on vectorized CRAY serial supercomputers, a CRAY 64-CPU T3D massively parallel ...

Real and complex variable positive definite functions

In this paper we present an overview of the implications of our previously derived results for positive definite kernels on the general theory of positive definite functions. We begin by exploring the consequences of a set of differential inequalities on the global behaviour of a smooth positive definite function of one real variable. Then we propose a natural extension of this study to the com...

application of the kudryashov method and the functional variable method for the complex kdv equation

in this present work, the kudryashov method and the functional variable method are used to construct exact solutions of the complex kdv equation. the kudryashov method and the functional variable method are powerful methods for obtaining exact solutions of nonlinear evolution equations.