Complete integrability and analytic solutions of a KdV‐type equation

Complete integrability and analytic solutions of a KdV‐type equation

The complete integrability of the variable coefficient version of a KdV equation via the Painlevé approach is analyzed. Through the Painlevé–Bäcklund equations, its auto‐Bäcklund transformation, Lax pairs, symmetry, strong symmetry, bilinear form, and analytic solutions are obtained.

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Veröffentlicht in:Journal of mathematical physics 1990-12, Vol.31 (12), p.2851-2855
Hauptverfasser: Chen, Zhi‐xiong, Guo, (Pen‐yu Ben‐yuKuo), Xiang, Long‐wan
Format: Artikel
Sprache:eng
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Zusammenfassung:The complete integrability of the variable coefficient version of a KdV equation via the Painlevé approach is analyzed. Through the Painlevé–Bäcklund equations, its auto‐Bäcklund transformation, Lax pairs, symmetry, strong symmetry, bilinear form, and analytic solutions are obtained.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.528936