Complete integrability and analytic solutions of a KdV-type equation. (English) Zbl 0727.35126
Summary: 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.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
References:
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