ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

A Note On the Derivation of Governing Equations of Envelopes Created by Nearly Bi-chromatic Waves --the Modified Schrodinger Equation and the Modified Schrodinger-nohara Equation--


Ben T. Nohara

Musashi Institute of Technology
Department of Electronic and Computer Engineering
Tamazutsumi, Setagaya, Tokyo 158-8557
Phone: (03)3703-3111 Fax: (03)5707-2147


In this paper, two concepts of directional waves: directional, nearly monochromatic waves and directional, nearly bi-chromatic waves are presented. Directional, nearly monochromatic waves are propagation-direction-based nearly monochromatic waves, whose energy is almost concentrated in a single propagation direction. Directional, nearly bi-chromatic waves are the ones whose energy is almost concentrated in two wave propagation directions and the approach of these directions is very close. We show that the modified Schrodinger equation, which is modified from the Schrodinger equation, governs the envelope created by nearly bi-chromatic waves and also the modified Schrodinger-Nohara equation modified from the Schrodinger-Nohara equation governs the envelope surface created by directional, nearly bi-chromatic waves.

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