Lie symmetries, group classification and conserved quantities of dispersionless Manakov-Santini system in (2+1)-dimension

被引：1

作者：

Singh, Manjit ^{[1
]}

Tian, Shou-Fu ^{[2
]}

机构：

[1] Punjabi Univ, Yadavindra Dept Sci, Guru Kashi Campus, Talwandi Sabo 151302, Punjab, India

[2] China Univ Min & Technol, Sch Math & Inst Math Phys, Xuzhou 221116, Jiangsu, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 54卷 / 02期

基金：

中国国家自然科学基金;

关键词：

MS system; Symmetry analysis; Normalizer; Optimal list of subalgebra; Conservation laws; PARTIAL-DIFFERENTIAL-EQUATIONS; DIRECT CONSTRUCTION METHOD; SIMILARITY REDUCTIONS; INVARIANT SOLUTIONS; CAUCHY-PROBLEM; LAWS; HIERARCHY; EVOLUTION; EXAMPLE; PLANE;

D O I：

10.1007/s13226-022-00255-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A member of Manakov-Santini (MS) hierarchy is investigated in this work using Lie group analysis and the multiplier approach. The admitted 11-dimensional Lie algebra for the MS system has been proved to be completely solvable on basis of the existence of chain of ideals. The optimal list of inequivalent one-dimensional subalgebras are constructed from adjoint actions collected in a table. The method for construction of similar list in 2-dimension has also been discussed in detail. The subalgebras so obtained are used to give out several inequivalent reductions and subsequently some exact solutions are reported. In addition to usual Lie symmetry analysis, the infinite set of non-trivial conservation laws are obtained.

引用

页码：312 / 329

页数：18

共 11 条

[1] Lie symmetries, group classification and conserved quantities of dispersionless Manakov–Santini system in (2+1)-dimension
Manjit Singh
Shou-Fu Tian
[J]. Indian Journal of Pure and Applied Mathematics, 2023, 54 : 312 - 329
[2] LIE GROUP CLASSIFICATION A GENERALIZED COUPLED (2+1)-DIMENSIONAL HYPERBOLIC SYSTEM
Muatjetjeja, Ben
Mothibi, Dimpho Millicent
Khalique, Chaudry Masood
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (10): : 2803 - 2812
[3] An optimal system, invariant solutions, conservation laws, and complete classification of Lie group symmetries for a generalized (2+1)-dimensional Davey–Stewartson system of equations for the wave propagation in water of finite depth
Shubham Kumar Dhiman
Sachin Kumar
[J]. The European Physical Journal Plus, 138
[4] Comment on “An optimal system, invariant solutions, conservation laws, and complete classification of Lie group symmetries for a generalized (2+1)-dimensional Davey–Stewartson system of equations for the wave propagation in water of finite depth”
F. Güngör
C. Özemir
[J]. The European Physical Journal Plus, 138 (11)
[5] An optimal system, invariant solutions, conservation laws, and complete classification of Lie group symmetries for a generalized (2+1)-dimensional Davey-Stewartson system of equations for the wave propagation in water of finite depth
Dhiman, Shubham Kumar
Kumar, Sachin
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (03):
[6] Lie symmetries, optimal system and dynamics of exact solutions of (2+1)-dimensional KP-BBM equation
Tanwar, Dig Vijay
Wazwaz, Abdul-Majid
[J]. PHYSICA SCRIPTA, 2020, 95 (06)
[7] Group invariant solutions of (2+1)-dimensional rdDym equation using optimal system of Lie subalgebra
Kumar, Sachin
Wazwaz, Abdul-Majid
Kumar, Dharmendra
Kumar, Amit
[J]. PHYSICA SCRIPTA, 2019, 94 (11)
[8] Lie Group Analysis for a (2+1)-dimensional Generalized Modified Dispersive Water-Wave System for the Shallow Water Waves
Fei-Yan Liu
Yi-Tian Gao
Xin Yu
Cui-Cui Ding
Liu-Qing Li
[J]. Qualitative Theory of Dynamical Systems, 2023, 22
[9] Lie Group Analysis for a (2+1)-dimensional Generalized Modified Dispersive Water-Wave System for the Shallow Water Waves
Liu, Fei-Yan
Gao, Yi-Tian
Yu, Xin
Ding, Cui-Cui
Li, Liu-Qing
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (04)
[10] N-solitons and cuspon waves solutions of (2+1)-dimensional Broer-Kaup-Kupershmidt equations via hidden symmetries of Lie optimal system
Kassem, M. M.
Rashed, A. S.
[J]. CHINESE JOURNAL OF PHYSICS, 2019, 57 : 90 - 104

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