Lax Pair

A pair of linear Operators and associated with a given Partial Differential Equationwhich can be used to solve the equation. However, it turns out to be very difficult to find the and correspondingto a given equation, so it is actually simpler to postulate a given and and determine to which PartialDifferential Equation they correspond (Infeld and Rowlands 1990).

References

Infeld, E. and Rowlands, G. ``Integrable Equations in Two Space Dimensions as Treated by the Zakharov Shabat Methods.'' §7.10 in Nonlinear Waves, Solitons, and Chaos. Cambridge, England: Cambridge University Press, pp. 216-223, 1990.

• Fan
• Fano Plane
• Fano's Axiom
• Farey Sequence
• Farey Series
• Farkas's Lemma
• Faro Shuffle
• Far Out
• Far-Out Point
• Fast Fibonacci Transform
• Fast Fourier Transform
• Fat Fractal
• Fatou Dust
• Fatou Set
• Fatou's Lemma
• Fatou's Theorems
• Faulhaber's Formula
• Favard Constants
• F-Distribution
• Feigenbaum Constant
• Feigenbaum Function
• Feit-Thompson Conjecture
• Feit-Thompson Theorem
• Fejes Tóth's Integral
• Fejes Tóth's Problem