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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
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
关键词Nonlinear Evolution-equations Hamiltonian-systems Kp Equation Integrability Reductions Hierarchy Algebra
摘要Generalized 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
卷号26期号:17页码:4387-4394
学科领域Physics
收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12006
专题理论物理所科研产出_SCI论文
通讯作者LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.
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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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