A note on the equivalence of Bäcklund transformations and the inverse scattering method for a class of nonlinear differential equations

DOI10.1016/0020-7462(96)00006-6zbMath0861.35097OpenAlexW2075808111MaRDI QIDQ2564426

Lokenath Debnath, Hamed M. El-Sherbiny

Publication date: 4 May 1997

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(96)00006-6

zbMATH Keywords

inverse scattering transform Bäcklund transformations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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