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Zbl 1079.35505
Konno, Kimiaki; Wadati, Miki
Simple derivation of Bäcklund transformation from Riccati form of inverse method.
(English)
[J] Prog. Theor. Phys. 53, 1652-1656 (1975). ISSN 0033-068X

Summary: A simple method for deriving the Bäcklund transformation from the Riccati form of the inverse method is presented for the nonlinear evolution equations.
MSC 2000:
*35A30 Geometric theory for PDE, transformations
35R30 Inverse problems for PDE
35Q55 NLS-like (nonlinear Schroedinger) equations
37K35 Lie-Bäcklund and other transformations

Cited in: Zbl 1186.37071

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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