Explore: Lax Pairs

a Lax pair is a pair of time-dependent matrices or operators that satisfy a corresponding differential equation, called the Lax equation. Lax pairs were

Dingemans 1997, p. 733. Polyanin & Zaitsev 2003, Chapter S.10.1. Lax Pair Method. Lax 1968. Dunajski 2009, pp. 31–32. Grunert & Teschl 2009. Dauxois &

bear Lax's name include the Lax equivalence principle, which explained when numerical computer approximations would be reliable, and Lax pairs, which

(in a suitably generalized sense) is invariant under the evolution, cf. Lax pair. This provides, in certain cases, enough invariants, or "integrals of motion"

_{\nu }-A_{\nu }]} . The pair of matrices A u {\displaystyle A_{u}} and A v {\displaystyle A_{v}} are also known as a Lax pair for the sine-Gordon equation

transfer matrix T ( λ ) {\displaystyle T(\lambda )} (in turn defined using a Lax matrix), which acts on H {\displaystyle {\mathcal {H}}} along with an auxiliary

principal chiral model exhibits signatures of integrability such as a Lax pair/zero-curvature formulation, an infinite number of symmetries, and an underlying

differential equation may arise from the linear differential operators (Lax pair, AKNS pair), a combination of the linear differential operators and the nonlinear

Angeles International Airport (IATA: LAX, ICAO: KLAX, FAA LID: LAX), commonly referred to by its IATA code LAX, is the primary international airport

possible approach to certain over-determined systems, for example, including Lax pairs of integrable systems. A Pfaffian system is specified by 1-forms alone