• are however three famous cases that are integrable, the Euler, the Lagrange, and the Kovalevskaya top, which are in fact the only integrable cases when...
    10 KB (1,770 words) - 08:24, 6 April 2025
  • Thumbnail for Sofya Kovalevskaya
    that is "completely integrable" other than the tops of Euler and Lagrange. In 1889 Kovalevskaya was appointed Ordinary Professor (full professor) at Stockholm...
    30 KB (3,452 words) - 03:54, 30 April 2025
  • Thumbnail for Spinning top
    Spinning top (redirect from Spinning Tops)
    ForeverSpin Jacks are spun as tops upon one of their points or used to play knucklebones Lagrange, Euler, and Kovalevskaya tops Paengi Chigi Yo-yo Cromwell...
    15 KB (1,838 words) - 19:20, 19 May 2025
  • Korteweg–de Vries equation Sine-Gordon equation Toda lattice Lagrange, Euler, and Kovalevskaya tops Belinski–Zakharov transform, in general relativity. The...
    10 KB (1,778 words) - 19:11, 13 June 2025
  • ellipsoids Harmonic oscillator Integrable Clebsch and Steklov systems in fluids Lagrange, Euler, and Kovalevskaya tops Neumann oscillator Two center Newtonian gravitational...
    28 KB (3,407 words) - 02:04, 23 June 2025
  • {\displaystyle (H,\mathbf {L} ^{2},L_{3})} . Integrable tops: The Lagrange, Euler and Kovalevskaya tops are integrable in the Liouville sense. Frobenius integrability:...
    7 KB (1,131 words) - 15:31, 22 April 2025
  • Thumbnail for Korteweg–De Vries equation
    }{\partial x}}.} Derivation of EulerLagrange equations Since the Lagrangian (eq (1)) contains second derivatives, the EulerLagrange equation of motion for this...
    25 KB (3,209 words) - 16:05, 13 June 2025
  • is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic...
    16 KB (2,733 words) - 03:57, 2 June 2025
  • Sine-Gordon equation (category Functions of space and time)
    \varphi _{tt}-\varphi _{xx}+\varphi =0.} The sine-Gordon equation is the EulerLagrange equation of the field whose Lagrangian density is given by L SG ( φ...
    34 KB (4,732 words) - 10:28, 4 July 2025
  • Thumbnail for Inverse scattering transform
    responsible for wave scattering.: 66–67  The direct and inverse scattering transforms are analogous to the direct and inverse Fourier transforms which are used...
    19 KB (2,604 words) - 23:27, 19 June 2025
  • four) famous cases that are integrable, the Euler, the Lagrange, and the Kovalevskaya top. The Kovalevskaya top is a special symmetric top with a unique...
    65 KB (7,658 words) - 04:10, 20 June 2025
  • rediscovered and studied by Kevin Costello, and later by Edward Witten and Masahito Yamazaki. It is named after mathematicians Shiing-Shen Chern and James Simons...
    11 KB (1,480 words) - 06:32, 9 March 2025
  • and a compact Riemann surface, introduced by Nigel Hitchin in 1987. It lies on the crossroads of algebraic geometry, the theory of Lie algebras and integrable...
    8 KB (1,117 words) - 05:19, 26 May 2025
  • Takhtajan and L. D. Faddeev in 1979. It can be viewed as a quantized version of the classical inverse scattering method pioneered by Norman Zabusky and Martin...
    6 KB (700 words) - 19:40, 9 November 2024
  • Thumbnail for Chiral model
    G_{L}\times G_{R}} , the left and right copies, respectively; where the left copy acts as the left action upon the target space, and the right copy acts as the...
    20 KB (3,269 words) - 17:39, 18 May 2025
  • the algebraic curve that the theory is defined on is the Riemann sphere and the system is tamely ramified. The Schlesinger equations are a system of...
    9 KB (1,403 words) - 11:30, 9 July 2023