Conditional and Hidden Infinite-Dimensional Symmetries of Wave Equations

被引：0

作者：

Yehorchenko, I ^{[1
]}

Vorobyova, A. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

[2] P Mohyla Black Sea Natl Univ, Mykolaiv, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2022年 / 74卷 / 03期

关键词：

REDUCTION; SIMILARITY;

D O I：

10.1007/s11253-022-02069-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider conditional and hidden symmetries of multidimensional wave equations generated by additional conditions. An additional condition corresponding to the dilation operator generates an infinite-dimensional symmetry for the wave equation.

引用

页码：378 / 384

页数：7

共 50 条

[11] On infinite-dimensional algebras of symmetries of the self-dual Yang-Mills equations
Ivanova, TA
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (01) : 79 - 87
[12] SYMMETRIES AND INFINITE-DIMENSIONAL LIE-ALGEBRA OF THE VARIABLE-COEFFICIENT KDV EQUATIONS
RUAN, HY
LOU, SY
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1993, 20 (03) : 375 - 380
[13] Infinite-dimensional symmetries of two-dimensional coset models
Lue, H.
Perry, Malcolm J.
Pope, C. N.
[J]. NUCLEAR PHYSICS B, 2009, 806 (03) : 656 - 683
[14] LIE-ALGEBRAIC PROPERTIES OF INFINITE-DIMENSIONAL WAVE-EQUATIONS
CANT, A
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (03) : 354 - 356
[15] Symmetries and first integrals in the mechanics of infinite-dimensional systems
Savchin, V. M.
Budochkina, S. A.
[J]. DOKLADY MATHEMATICS, 2009, 79 (02) : 189 - 190
[16] Essentially infinite-dimensional evolution equations
Mal'tsev A.Yu.
[J]. Ukrainian Mathematical Journal, 2004, 56 (2) : 264 - 273
[17] INFINITE-DIMENSIONAL DIFFERENTIAL-EQUATIONS
BINDING, P
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1977, 24 (03) : 349 - 354
[18] Symmetries and first integrals in the mechanics of infinite-dimensional systems
V. M. Savchin
S. A. Budochkina
[J]. Doklady Mathematics, 2009, 79 : 189 - 190
[19] Standard Model Fermions and Infinite-Dimensional R Symmetries
Meissner, Krzysztof A.
Nicolai, Hermann
[J]. PHYSICAL REVIEW LETTERS, 2018, 121 (09)
[20] EXTENDED DOUBLE LINEAR SYSTEMS AND NEW INFINITE-DIMENSIONAL DOUBLE HIDDEN SYMMETRIES FOR STRING EFFECTIVE ACTION
Gao, Ya-Jun
[J]. MODERN PHYSICS LETTERS A, 2009, 24 (04) : 311 - 320

← 1 2 3 4 5 →