Backlund Transformations for the Isospectral and Non-isospectral Matrix Kdv Hierarchies

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Abstract

By transforming the usual Lax pairs of isospectral and non-isospectral matrix Kdv hierarchies into Lax pairs Riccati form, a unified explicit from of Backlund transformations and superposition formulas for these two kinds of hierarchies of equations can be ohtaincd.

Keywords:

Backlund transformation; noncommutativity of matrix; Lax pairs
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Backlund Transformations for the Isospectral and Non-isospectral Matrix Kdv Hierarchies. (2020). Journal of Partial Differential Equations, 5(4), 59-65. https://gsp.tricubic.dev/jpde/article/view/3728