Maximal amplitudes of hyperelliptic solutions of the derivative nonlinear Schrodinger equation

被引：5

作者：

Wright, Otis C., III ^{[1
]}

机构：

[1] Cedarville Univ, Dept Sci & Math, 251 N Main St, Cedarville, OH 45314 USA

来源：

STUDIES IN APPLIED MATHEMATICS | 2020年 / 144卷 / 03期

关键词：

derivative NLS equation; hyperelliptic solutions; maximal amplitudes; upper bound; ULTRA-ELLIPTIC SOLUTIONS; QUASI-PERIODIC SOLUTIONS; FINITE-GAP SOLUTIONS; SINE-GORDON; GLOBAL EXISTENCE; WAVES; NLS; INTEGRATION;

D O I：

10.1111/sapm.12299

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A simple formula is proven for an upper bound for amplitudes of hyperelliptic (finite-gap or N-phase) solutions of the derivative nonlinear Schrodinger equation. The upper bound is sharp, viz, it is attained for some initial conditions. The method used to prove the upper bound is the same method, with necessary modifications, used to prove the corresponding bound for solutions of the focusing NLS equation (Wright OC, III. Sharp upper bound for amplitudes of hyperelliptic solutions of the focusing nonlinear Schrodinger equation. Nonlinearity. 2019;32:1929-1966).

引用

页码：327 / 356

页数：30

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