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 (1,769 words) - 22:49, 22 April 2024
Spinning top (redirect from Spinning Tops)
Fidget spinner Gee-haw whammy diddle ForeverSpin Lagrange, Euler, and Kovalevskaya tops Jacks are spun as tops upon one of their points or used to play knucklebones...
15 KB (1,785 words) - 08:51, 1 May 2024
Lax pair (section Kovalevskaya top)
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) - 07:08, 15 April 2024
ellipsoids Harmonic oscillator Integrable Clebsch and Steklov systems in fluids Lagrange, Euler, and Kovalevskaya tops Neumann oscillator Two center Newtonian gravitational...
28 KB (3,405 words) - 01:47, 20 March 2024
that is "completely integrable" other than the tops of Euler and Lagrange. In 1889 Kovalevskaya was appointed Ordinary Professor (full professor) at Stockholm...
29 KB (3,430 words) - 06:19, 6 June 2024
{\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 (1,128 words) - 03:32, 1 June 2024
}{\partial x}}.} Derivation of Euler–Lagrange equations Since the Lagrangian (eq (1)) contains second derivatives, the Euler–Lagrange equation of motion for this...
26 KB (3,325 words) - 05:15, 3 May 2024
\varphi _{tt}-\varphi _{xx}+\varphi =0.} The sine-Gordon equation is the Euler–Lagrange equation of the field whose Lagrangian density is given by L SG ( φ...
33 KB (4,704 words) - 11:43, 26 March 2024
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 (2,729 words) - 13:14, 28 April 2024
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 (7,595 words) - 20:39, 16 April 2024
responsible for wave scattering.: 66–67 The direct and inverse scattering transforms are analogous to the direct and inverse Fourier transforms which are used...
18 KB (2,495 words) - 06:28, 1 May 2024
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 (1,456 words) - 10:29, 6 January 2024
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...
5 KB (641 words) - 16:42, 23 August 2023
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
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...
19 KB (3,206 words) - 00:43, 6 January 2024
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 (684 words) - 03:56, 28 May 2024