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An Algebraic Method for Solving the KdV Equation (II). Three-parameter and Four-parameter Solution Family

✍ Scribed by Pan Zu-liang; Zhao Shen-qi; Zheng Ke-jie

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 230 KB
Volume: 9
Category: Article
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(97)00164-1

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✦ Synopsis

The three!parameter and four!parameter solution family of the KdV equation are given[ The comparison of our expressions with the known results which were obtained by means of the inverse scattering transformation "IST# or Backlund transformation is discussed in detail[ We _nd that the known result obtained by the IST approach is the special case of our expressions and under some proper transformations\ the expressions given here become the result obtained by Backlund transformation[ It is emphasized that the properties of these multiple!parameter solution families should be studied from algebraic!geometry approach[

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