ON THE PREDICTION OF THE NUMBER OF SOLITONS EXCITED BY AN ARBITRARY POTENTIAL - AN OBSERVATION FROM INVERSE SCATTERING

被引：5

作者：

HANSEN, PJ ^{[1
]}

LONNGREN, KE ^{[1
]}

机构：

[1] UNIV IOWA,DEPT ELECT & COMP ENGN,IOWA CITY,IA 52242

来源：

PHYSICA D | 1993年 / 68卷 / 01期

基金：

美国国家科学基金会; 美国国家航空航天局;

关键词：

D O I：

10.1016/0167-2789(93)90021-R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A heuristic estimate for the soliton production rate by a pulse is verified for the Korteweg - de Vries equation using inverse scattering. An observation from this result, which is shown to hold for some other nonlinear equations and for the case of the ''forced'' nonlinear Schrodinger equation, is that production is determined by quantities that are invariant under rescaling of the original nonlinear equations. We speculate that this result may be useful to the development of an inverse scattering theory for ''forced'' nonlinear systems.

引用

页码：12 / 17

页数：6

共 8 条

[1]

ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249

[2] THE FORCED NONLINEAR SCHRODINGER-EQUATION [J].

KAUP, DJ ;

HANSEN, PJ .

PHYSICA D, 1986, 18 (1-3) :77-84

[3] COMMENTS ON THE INVERSE SCATTERING TRANSFORM FOR THE FORCED TODA LATTICE [J].

KAUP, DJ ;

HANSEN, PJ .

PHYSICA D, 1987, 25 (1-3) :369-381

[4] NONLINEAR ELECTRICAL TRANSMISSION-LINE AS A BURST GENERATOR [J].

KUUSELA, T ;

HIETARINTA, J .

REVIEW OF SCIENTIFIC INSTRUMENTS, 1991, 62 (09) :2266-2270

[5]

LAMB GL, 1980, ELEMENTS SOLITON THE

[6]

Lonngren K.E., 1978, SOLITONS IN ACTION, P127

[7] A HEURISTIC PREDICTION OF THE NUMBER OF SOLITONS THAT ARE EXCITED BY AN ARBITRARY POTENTIAL [J].

LONNGREN, KE ;

HANSEN, P ;

KUUSELA, T .

PHYSICA SCRIPTA, 1992, 46 (01) :63-64

[8]

Schiff L.I., 1968, QUANTUM MECH

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