In mathematics, in the theory of integrable systems, a Lax pair is a pair of time-dependent matrices or operators that describe the corresponding differential equations. They were introduced by Peter Lax to discuss solitons in continuous media. The inverse scattering transform makes use of the Lax equations to solve such systems.
Read more about Lax Pair: Definition, Isospectral Property, Example, Equations With A Lax Pair
Famous quotes containing the words lax and/or pair:
“We want nights
Of vague adventure, lips lax wet and warm,
Bees in the stomach, sweat across the brow. Now.”
—Gwendolyn Brooks (b. 1917)
“Not the less does nature continue to fill the heart of youth with suggestions of his enthusiasm, and there are now men,—if indeed I can speak in the plural number,—more exactly, I will say, I have just been conversing with one man, to whom no weight of adverse experience will make it for a moment appear impossible, that thousands of human beings might exercise towards each other the grandest and simplest of sentiments, as well as a knot of friends, or a pair of lovers.”
—Ralph Waldo Emerson (1803–1882)