Tian Chou, Zhang Youjin
Abstract
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By transforming the usual Lax pairs of the isospectral and non-isospectral MKdV hierarchies into Lax pairs in Riccati form, a unified explicit form of Backlund transformations and superposition formulae for these hierarchies of equations can be obtained.
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By transforming the usual Lax pairs of the isospectral and non-isospectral MKdV hierarchies into Lax pairs in Riccati form, a unified explicit form of Backlund transformations and superposition formulae for these hierarchies of equations can be obtained.
Key concepts: Isospectral, Superposition principle, Mathematics, Lax pair, Riccati equation, Pure mathematics, Algebra over a field, Mathematical analysis