In mathematics, in the theory of integrable systems, 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 introduced by Peter Lax to discuss solitons in continuous media. The inverse scattering transform makes use of the Lax equations to solve such systems.
a Laxpair is a pair of time-dependent matrices or operators that satisfy a corresponding differential equation, called the Lax equation. Laxpairs were...
Look up lax in Wiktionary, the free dictionary. A lax is a salmon. LAX as an acronym most commonly refers to Los Angeles International Airport in Southern...
equations related to weather prediction. If a system of PDEs can be put into Laxpair form d L d t = L A − A L {\displaystyle {\frac {dL}{dt}}=LA-AL} then it...
Peter David Lax (born Lax Péter Dávid; 1 May 1926) is a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and...
differential equation may arise from the linear differential operators (Laxpair, AKNS pair), a combination of the linear differential operators and the nonlinear...
principal chiral model exhibits signatures of integrability such as a Laxpair/zero-curvature formulation, an infinite number of symmetries, and an underlying...
Los Angeles International Airport (IATA: LAX, ICAO: KLAX, FAA LID: LAX) is the primary international airport serving Los Angeles and its surrounding metropolitan...
(in a suitably generalized sense) is invariant under the evolution, cf. Laxpair. This provides, in certain cases, enough invariants, or "integrals of motion"...
The LAX Automated People Mover is an under construction automated people mover (APM) system that will serve the area around Los Angeles International...
{\displaystyle \Re (u)(u_{rr}+u_{r}/r+u_{zz})=(u_{r})^{2}+(u_{z})^{2}.} For its Laxpair and other features see e.g. and references therein. The Ernst equation...
with another vowel. The opposite quality to tenseness is known as laxness or laxing: the pronunciation of a vowel with relatively more centralization...
discrete one-dimensional Schrödinger operator. It also arises in: The Laxpair of the Toda lattice. The three-term recurrence relationship of orthogonal...
To show that the system is completely integrable, it suffices to find a Laxpair, that is, two operators L(t) and P(t) in the Hilbert space of square summable...
X_{(r)}^{b}} with implicit summation. Next, these are used to define the Lax matrix which is also a g {\displaystyle {\mathfrak {g}}} valued function...
the nature of vowels. As a result of the changes, the pairs of vowels related by trisyllabic laxing often bear little resemblance to one another in Modern...
possible approach to certain over-determined systems, for example, including Laxpairs of integrable systems. A Pfaffian system is specified by 1-forms alone...
− 2 d d x K ( x , x ) . {\displaystyle u(x)=-2{\frac {d}{dx}}K(x,x).} Laxpair Dunajski, Maciej (2015). Solitons, instantons, and twistors (1. publ.,...
the solution of corresponding problem in Korteweg–de Vries equation. The Laxpair of the Harry Dym equation is associated with the Sturm–Liouville operator...
Hayward: Sperber and Lax 1997, pp. 509–510. Sperber and Lax 1997, p. 510. Bacall 1978, p. 273. Sperber and Lax 1997, p. 516. Sperber and Lax 1997, p. 518. Meyers...
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...
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