Discretization of hyperbolic type Darboux integrable equations preserving integrability

被引：14

作者：

Habibullin, Ismagil ^{[1
]}

Zheltukhina, Natalya ^{[2
]}

Sakieva, Alfia ^{[1
]}

机构：

[1] Russian Acad Sci, Ufa Inst Math, Ufa 450077, Russia

[2] Bilkent Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

Liouville equation; nonlinear equations; partial differential equations; DISCRETE;

D O I：

10.1063/1.3628587

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method of integrable discretization of the Liouville type nonlinear partial differential equations based on integrals is suggested. New examples of the discrete Liouville type models are presented. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3628587]

引用

页数：12

共 50 条

[1] On Backlund Transformations Preserving the Darboux Integrability of Hyperbolic Equations
Startsev, S. Ya.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (05) : 1929 - 1937
[2] On Bäcklund Transformations Preserving the Darboux Integrability of Hyperbolic Equations
S. Ya. Startsev
Lobachevskii Journal of Mathematics, 2023, 44 : 1929 - 1937
[3] ON THE DARBOUX INTEGRABLE HYPERBOLIC-EQUATIONS
SOKOLOV, VV
ZHIBER, AV
PHYSICS LETTERS A, 1995, 208 (4-6) : 303 - 308
[4] ON THE DARBOUX INTEGRABLE NONLINEAR HYPERBOLIC-EQUATIONS
ZHIBER, AV
SOKOLOV, VV
STARTSEV, SY
DOKLADY AKADEMII NAUK, 1995, 343 (06) : 746 - 748
[5] On the discretization of Darboux Integrable Systems
Kostyantyn Zheltukhin
Natalya Zheltukhina
Journal of Nonlinear Mathematical Physics, 2020, 27 : 616 - 632
[6] On the discretization of Darboux Integrable Systems
Zheltukhin, Kostyantyn
Zheltukhina, Natalya
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2020, 27 (04) : 616 - 632
[7] Darboux integrability of hyperbolic partial differential equations: is it a property of integrals rather than equations?
Startsev, S. Ya
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2025, 58 (02)
[8] Darboux-integrable two-component nonlinear hyperbolic systems of equations
Kostrigina, O. S.
Zhiber, A. V.
JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (03)
[9] Exactly integrable hyperbolic equations of Liouville type
Zhiber, AV
Sokolov, VV
RUSSIAN MATHEMATICAL SURVEYS, 2001, 56 (01) : 61 - 101
[10] A family of integrable nonlinear equations of hyperbolic type
Tongas, A
Tsoubelis, D
Xenitidis, P
JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (12) : 5762 - 5784

← 1 2 3 4 5 →