Resolvent approach to the Ablowitz-Ladik linear system

被引：2

作者：

Pogrebkov, AK ^{[1
]}

Prati, MC ^{[1
]}

机构：

[1] UNIV PISA,IST NAZL FIS NUCL,SCUOLA NORMALE SUPER PISA,I-56100 PISA,ITALY

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1996年 / 111卷 / 12期

关键词：

D O I：

10.1007/BF02741489

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The resolvent operator corresponding to the Ablowitz-Ladik linear system with a generic potential is determined. We present the properties of this operator and, using them, we introduce Jest solutions, different from the ones known in the literature.

引用

页码：1495 / 1505

页数：11

共 50 条

[1] The Ablowitz-Ladik system on a graph
Xia, Baoqiang
[J]. NONLINEARITY, 2019, 32 (12) : 4729 - 4761
[2] An Ablowitz-Ladik system with a discrete potential: I. Extended resolvent
Pogrebkov, AK
Prati, MC
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1999, 119 (01) : 407 - 419
[3] An Ablowitz-Ladik system with a discrete potential: I. Extended resolvent
A. K. Pogrebkov
M. C. Prati
[J]. Theoretical and Mathematical Physics, 1999, 119 : 407 - 419
[4] Continuum limit for the Ablowitz-Ladik system
Killip, Rowan
Ouyang, Zhimeng
Visan, Monica
Wu, Lei
[J]. NONLINEARITY, 2023, 36 (07) : 3751 - 3775
[5] The Ablowitz-Ladik system on a finite set of integers
Xia, Baoqiang
[J]. NONLINEARITY, 2018, 31 (07) : 3086 - 3114
[6] The Ablowitz-Ladik system with linearizable boundary conditions
Biondini, Gino
Bui, Anh
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (37)
[7] Extreme waves statistics for the Ablowitz-Ladik system
D. S. Agafontsev
[J]. JETP Letters, 2014, 98 : 731 - 734
[8] Tau-functions for the Ablowitz-Ladik hierarchy: the matrix-resolvent method
Cafasso, Mattia
Yang, Di
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (20)
[9] Extreme waves statistics for the Ablowitz-Ladik system
Agafontsev, D. S.
[J]. JETP LETTERS, 2014, 98 (11) : 731 - 734
[10] ON DISCRETE ABLOWITZ-LADIK EIGENVALUE PROBLEM
CHENG, Y
[J]. SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1986, 29 (06): : 582 - 594

← 1 2 3 4 5 →