Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (6): 893-897.

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DECOMPOSITIONS OF BACKLUND TRANSFORMATIONS FOR THE KORTEWEG-DE VRIES EQUATION

Huang Xun-cheng   

  1. Shanghai Institute of Computing Technique
  • Received:1981-12-01 Online:1982-11-18 Published:1982-11-18

Abstract: In this paper, decomposition relations such as B, connecting scale transformations and Bäcklund transformations for the Korteweg-de Vries K-dV, modified K-dV, higher-order K-dV and cylindrical equations, are obtained.

Key words: Benjamin equation, Bäcklund transformation, infinite conserved law

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