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CONNECTIONS AMONG HOMOGENEOUS BALANCE METHOD, WEISS-TABOR-CARNEVALE METHOD AND CLARKSON-KRUSKAL METHOD

FAN EN-GUI

CONNECTIONS AMONG HOMOGENEOUS BALANCE METHOD, WEISS-TABOR-CARNEVALE METHOD AND CLARKSON-KRUSKAL METHOD

FAN EN-GUI
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  • Received Date:  11 December 1999
  • Published Online:  20 August 2000

CONNECTIONS AMONG HOMOGENEOUS BALANCE METHOD, WEISS-TABOR-CARNEVALE METHOD AND CLARKSON-KRUSKAL METHOD

  • 1. 复旦大学数学研究所,上海 200433

Abstract: The homogeneous balance method is extended to search for the Bcklund transformations and similarity reductions of nonlinear mathematical and physical equations. The corresponding results coincide with those of Weiss-Tabor-Carnevale method and Clarkson-Kruskal method respectively. It is shown that there exist close relations among these three methods.

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