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- W2034381172 abstract "The general similarity solution of the Boussinesq equation is expressed in terms of the first Painlevé transcendents or of the Weierstrass elliptic functions. A new more general Bäcklund transformation (BT) with three parameters has been found. The BT applied to similarity solutions cannot map first Painlevé transcendents into each other, but can map Weierstrass functions into each other. In this case the BT is the addition formula for the Weierstrass ζ-functions. As a by-product of the investigation on the BT the general solution for the stationary linear Schrödinger equation with potential a WeierstrassP-function is obtained." @default.
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- W2034381172 date "1980-03-01" @default.
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- W2034381172 title "Similarity solutions and Bäcklund transformations of the Boussinesq equation" @default.
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- W2034381172 doi "https://doi.org/10.1007/bf02738364" @default.
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