Solitons and SL(2, R)

doi:10.1016/0375-9601(78)90646-1

Physics Letters A

Volume 66, Issue 3, 15 May 1978, Pages 170-172

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Abstract

The known relationship between non-linear partial differential equations which have soliton solutions, and SL (2, R), is developed to the point where it provides a framework for discussing Bäcklund transformations, and equations for the inverse scattering method.

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S. Sternberg
Lectures on differential geometry

There are more references available in the full text version of this article.

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Solitons and SL(2, R)

Abstract

Lett. Math. Phys.

2-manifolds of constant curvature, 3-parameter isometry groups and Bäcklund transformations

Phys. Rev. Lett.

The geometry of non-linear differential equations, Bäcklund transformations, and solitons

Lectures on differential geometry