Spectral theory | Differential equations | Automorphic forms | Exactly solvable models

Lax pair

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. (Wikipedia).

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DISCUSSION MEETING : HYDRODYNAMICS AND FLUCTUATIONS - MICROSCOPIC APPROACHES IN CONDENSED MATTER SYSTEMS (ONLINE) ORGANIZERS: Abhishek Dhar (ICTS-TIFR, India), Keiji Saito (Keio University, Japan) and Tomohiro Sasamoto (Tokyo Institute of Technology, Japan) DATE: 06 September 2021 to 10

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As programmers, we're familiar with complex logic and decisions: complex boolean expressions, long if/else cascades, and convoluted cases. But we quickly learn to avoid them as much as possible, finding ways to simplify. That's because even though computers can handle that complex stuff, w

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From playlist Math 15 Spring 2020

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Related pages

Planck constant | Commutator | Differential equation | Schwarzschild metric | Toda lattice | Lagrange, Euler, and Kovalevskaya tops | Isospectral | Benjamin–Ono equation | Operator (mathematics) | Hamiltonian (quantum mechanics) | Soliton | KdV hierarchy | Unitary operator | Belinski–Zakharov transform | Mathematics | Davey–Stewartson equation | Hilbert space | Kadomtsev–Petviashvili equation | Marchenko equation | Cauchy problem | Inverse scattering transform | Kerr metric | Sine-Gordon equation