On the periodic Toda lattice with a self-consistent source

被引：9

作者：

Babajanov, Bazar ^{[1
]}

Feckan, Michal ^{[2
,3
]}

Urazboev, Gayrat ^{[1
]}

机构：

[1] Urgench State Univ, Dept Math & Phys, Urgench 220100, Uzbekistan

[2] Comenius Univ, Dept Math Anal & Numer Math, Bratislava 84215, Slovakia

[3] Slovak Acad Sci, Math Inst, Bratislava 81473, Slovakia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 22卷 / 1-3期

关键词：

Toda lattice; Hill's equation; Self-consistent source; Inverse spectral problem; Trace formulas;

D O I：

10.1016/j.cnsns.2014.10.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to the application of inverse spectral problem for integration of the periodic Toda lattice with self-consistent source. The effective method of solution of the inverse spectral problem for the discrete Hill's equation is presented. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：1223 / 1234

页数：12

共 50 条

[41] On the Construction and Integration of a Hierarchy for the Kaup System with a Self-Consistent Source in the Class of Periodic Functions
Yakhshimuratov, A.
Kriecherbauer, T.
Babajanov, B.
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2021, 17 (02) : 233 - 257
[42] Modified Manakov system with self-consistent source
Shchesnovich, VS
Doktorov, EV
PHYSICS LETTERS A, 1996, 213 (1-2) : 23 - 31
[43] SELF-CONSISTENT PERIODIC QUARTET FORMATION IN NUCLEAR SURFACE
JACKSON, AD
DELLANO, M
PLASTINO, A
LETTERE AL NUOVO CIMENTO, 1976, 17 (16): : 524 - 528
[44] Self-Consistent Potential Correction for Charged Periodic Systems
da Silva, Mauricio Chagas
Lorke, Michael
Aradi, Balint
Tabriz, Meisam Farzalipour
Frauenheim, Thomas
Rubio, Angel
Rocca, Dario
Deak, Peter
PHYSICAL REVIEW LETTERS, 2021, 126 (07)
[45] PERTURBATIONS OF PERIODIC TODA LATTICE
BOGOYAVLENSKY, OI
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 51 (03) : 201 - 209
[46] Self-consistent theory of dynamic melting of a vortex lattice
Grundberg, S
Rammer, J
ANNALEN DER PHYSIK, 2000, 9 (01) : 19 - 26
[47] SELF-CONSISTENT CALCULATIONS OF LATTICE MODES OF SOLID NITROGEN
RAICH, JC
GILLIS, NS
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1973, 18 (03): : 482 - 482
[48] The self-consistent ab initio lattice dynamical method
Souvatzis, P.
Eriksson, O.
Katsnelson, M. I.
Rudin, S. P.
COMPUTATIONAL MATERIALS SCIENCE, 2009, 44 (03) : 888 - 894
[49] Self-Consistent Field Lattice Model for Polymer Networks
Tito, Nicholas B.
Storm, Cornelis
Ellenbroek, Wouter G.
MACROMOLECULES, 2017, 50 (24) : 9788 - 9795
[50] SELF-CONSISTENT DESCRIPTION OF INTERACTING PHONONS IN A CRYSTAL LATTICE
Poluektov, Yu. M.
EAST EUROPEAN JOURNAL OF PHYSICS, 2016, 3 (03): : 35 - 46

← 1 2 3 4 5 →