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LOU, SY; LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.
SYMMETRIES OF THE KADOMTSEV-PETVIASHVILI EQUATION
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
KeywordNonlinear Evolution-equations Hamiltonian-systems Kp Equation Integrability Reductions Hierarchy Algebra
AbstractGeneralized symmetries with arbitary functions of time t for the well known 2 + 1-dimensional integrable model, Kadomtsev-Petviashvili (KP) equation, are found by means of the extended mastersymmetry approach. Then an explicit and simple constructive formula for the symmetries of the KP equation is derived directly from the symmetry definition equation, without using complicated recursion operators. All the known symmetries appear as special cases of those obtained in this paper. The general infinite-dimensional Lie algebra constituted by these symmetries is also given.
1993
ISSN0305-4470
Volume26Issue:17Pages:4387-4394
Subject AreaPhysics
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12006
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.
Recommended Citation
GB/T 7714
LOU, SY,LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.. SYMMETRIES OF THE KADOMTSEV-PETVIASHVILI EQUATION[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1993,26(17):4387-4394.
APA LOU, SY,&LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA..(1993).SYMMETRIES OF THE KADOMTSEV-PETVIASHVILI EQUATION.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,26(17),4387-4394.
MLA LOU, SY,et al."SYMMETRIES OF THE KADOMTSEV-PETVIASHVILI EQUATION".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 26.17(1993):4387-4394.
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