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Lax Pair


A pair of linear operators L and A associated with a given partial differential equation which can be used to solve the equation. However, it turns out to be very difficult to find the L and A corresponding to a given equation, so it is actually simpler to postulate a given L and A and determine to which partial differential equation they correspond (Infeld and Rowlands 2000).


See also

Partial Differential Equation

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References

Infeld, E. and Rowlands, G. "Integrable Equations in Two Space Dimensions as Treated by the Zakharov-Shabat Method." §7.10 in Nonlinear Waves, Solitons, and Chaos, 2nd ed. Cambridge, England: Cambridge University Press, pp. 192-199, 2000.

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Lax Pair

Cite this as:

Weisstein, Eric W. "Lax Pair." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LaxPair.html

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