Bäcklund transformations for certain nonlinear evolution equations

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Abstract

Bäcklund transformations associated with the Korteweg-deVries (KdV), modified KdV, and nonlinear Schrödinger equations are derived by a method due to Clairin. Also, a Bäcklund transformation relating the KdV and modified KdV equations is obtained by the same technique.

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G. L. Lamb (Sun,) studied this question.

synapsesocial.com/papers/6a1d1654102421609404d48b https://doi.org/https://doi.org/10.1063/1.1666595

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3Method for Solving the Sine-Gordon Equation1973 · 927 citations
4The Modified Korteweg-de Vries Equation1973 · 570 citations
5A Treatise on the Differential Geometry of Curves and Surfaces1960 · 599 citations

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