A generalized Liouville’s formula
Applied Mathematics-A Journal of Chinese Universities(2022)
Abstract
A generalized Liouville’s formula is established for linear matrix differential equations involving left and right multiplications. Its special cases are used to determine the localness of characteristics of symmetries and solutions to Riemann-Hilbert problems in soltion theory.
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Key words
Liouville’s formula,soliton hierarchy,Riemann-Hilbert problem
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