ON VECTOR DERIVATIVE NONLINEAR SCHRODINGER EQUATION

被引：1

作者：

Smirnov, A. O. ^{[1
]}

Shilovsky, S. D. ^{[1
]}

机构：

[1] State Univ Aerosp Instrumentat, Bolshaya Morskaya str 67A, St Petersburg 1900000, Russia

来源：

UFA MATHEMATICAL JOURNAL | 2024年 / 16卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

integrable nonlinear equation; Kaup Newell equation; Chen Lee equation; Gerdjikov Ivanov equation; multiphase equation; spectral curve; SYSTEMS;

D O I：

10.13108/2024-16-3-92

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a sequence of Lax pairs, the compatibility conditions of are integrable vector nonlinear equations. The first equations in this hierarchy are Kaup Newell, Chen Lee Liu, Gerdjikov Ivanov integrable nonlinear equations. The type of vector equation depends on an additional parameter alpha. The proposed the vector Kaup Newell equation has slight differences in comparison with the classical form. We show that the evolution of simplest nontrivial solutions of these equations composition of the evolutions of length and orientations of solution. We study properties of spectral curves of simplest nontrivial solutions the vector equations in the constructed hierarchy

引用

页码：92 / 106

页数：15

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