THE USE OF FACTORS TO DISCOVER POTENTIAL SYSTEMS OR LINEARIZATIONS

被引：33
作者：
BLUMAN, G [1 ]
DORANWU, P [1 ]
机构：
[1] UNIV BRITISH COLUMBIA,DEPT MATH,VANCOUVER,BC V6T 1Z2,CANADA
来源：
ACTA APPLICANDAE MATHEMATICAE | 1995年 / 41卷 / 1-3期
关键词：
NONLOCAL SYMMETRIES; POTENTIAL SYMMETRIES; LINEARIZATION;
D O I：
10.1007/BF00996104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Factors of a given system of PDEs are solutions of an adjoint system of PDEs related to the system's Frechet derivative. In this paper, we introduce the notion of potential conservation laws, arising from specific types of factors, which lead to useful potential systems. Point symmetries of a potential system could yield nonlocal symmetries of the given system and its linearization by a noninvertible mapping. We also introduce the notion of linearizing factors to determine necessary conditions for the existence of a linearization of a given system of PDEs.
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页码：21 / 43
页数：23
相关论文
共 33 条
  • [1] [Anonymous], 1922, GESAMMELTE ABH, VIII, P492
  • [2] Bessel-Hagen E., 1921, MATH ANN, V84, P258
  • [3] ON INVARIANCE PROPERTIES OF THE WAVE-EQUATION
    BLUMAN, G
    KUMEI, S
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (02) : 307 - 318
  • [4] Bluman G., 1990, EUR J APPL MATH, V1, P217, DOI [1117350, DOI 10.1017/S0956792500000188]
  • [5] BLUMAN G, 1993, J MATH COMPUTER MODE, V8, P1
  • [6] Bluman G. W., 1993, P WORKSHOP MODERN GR, P71
  • [7] CORRECTION
    BLUMAN, GW
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (10) : 2320 - 2320
  • [8] NEW CLASSES OF SYMMETRIES FOR PARTIAL-DIFFERENTIAL EQUATIONS
    BLUMAN, GW
    REID, GJ
    KUMEI, S
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (04) : 806 - 811
  • [9] Bluman GW, 1989, APPL MATH SCI, V81
  • [10] BLUMAN GW, 1993, P NATO ADV RES WORKS, P363
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