= Lax pair
{wiki=Lax_pair}
A Lax pair is a mathematical construct used primarily in the study of integrable systems, particularly in the framework of soliton theory and the theory of nonlinear partial differential equations. It provides a way to understand the integrability of a system and is particularly useful for finding solutions to nonlinear equation systems. A Lax pair consists of two matrices, \\( L \\) and \\( M \\), which depend on a parameter \\( \\lambda \\) (often interpreted as a spectral parameter).
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