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SYMMETRIES OF THE KADOMTSEV-PETVIASHVILI EQUATION
LOU, SY; LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.
1993
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN0305-4470
卷号26期号:17页码:4387-4394
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.
部门归属CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA; ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
关键词Nonlinear Evolution-equations Hamiltonian-systems Kp Equation Integrability Reductions Hierarchy Algebra
学科领域Physics
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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SCI论文
通讯作者LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.
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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[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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