DARBOUX TRANSFORMATION AND EXPLICIT SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI EQUATION, DEPENDING ON FUNCTIONAL PARAMETERS

Matveev, V.B.

doi:10.1007/BF00405295

DARBOUX TRANSFORMATION AND EXPLICIT SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI EQUATION, DEPENDING ON FUNCTIONAL PARAMETERS

V.B. Matveev
(
- Orsay, LAL
)

1979

4 pages

Published in:

Lett.Math.Phys. 3 (1979) 213-216

DOI:

10.1007/BF00405295

View in:

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Abstract: (Springer)

We present a natural generalization of Wahlquist's results [1] for the two-dimensional KdV equation generating a large family of explicit solutions depending on functional parameters. This family may be fibered into parts invariant with respect to Darboux transformation and corresponding to different choices of the starting solution.

FIELD THEORY: TWO-DIMENSIONAL
Korteweg-de Vries equation
TRANSFORMATION: DARBOUX

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