• Thumbnail for Kadomtsev–Petviashvili equation
    mathematics and physics, the KadomtsevPetviashvili equation (often abbreviated as KP equation) is a partial differential equation to describe nonlinear[disambiguation...
    12 KB (1,463 words) - 18:23, 21 April 2024
  • Vladimir Petviashvili (1936–1993), Soviet physicist from Georgia KadomtsevPetviashvili equation This page lists people with the surname Petviashvili. If an...
    357 bytes (73 words) - 22:30, 19 January 2024
  • Thumbnail for Korteweg–De Vries equation
    equation Fifth-order Korteweg–De Vries equation KadomtsevPetviashvili equation KdV hierarchy Modified KdV–Burgers equation Novikov–Veselov equation Schamel...
    26 KB (3,325 words) - 05:15, 3 May 2024
  • Ishimori equation KadomtsevPetviashvili equation Korteweg–de Vries equation Landau–Lifshitz–Gilbert equation Liénard equation Navier–Stokes equations of fluid...
    21 KB (2,597 words) - 23:02, 6 April 2024
  • Mikio Sato and his students in the specific context of the KadomtsevPetviashvili (or KP) equation and related integrable hierarchies. It is a central ingredient...
    43 KB (6,688 words) - 17:47, 25 February 2024
  • Lax pair (redirect from Lax's equation)
    KadomtsevPetviashvili equation Korteweg–de Vries equation KdV hierarchy Marchenko equation Modified Korteweg–de Vries equation Sine-Gordon equation Toda...
    10 KB (1,778 words) - 07:08, 15 April 2024
  • Integrable system (category Partial differential equations)
    dimensions Davey–Stewartson equation Ishimori equation KadomtsevPetviashvili equation Novikov–Veselov equation Integrable PDEs in 3 + 1 dimensions The Belinski–Zakharov...
    28 KB (3,405 words) - 01:47, 20 March 2024
  • Quasi-geostrophic equations Shallow water equations Taylor–Goldstein equation Groundwater flow equation Richards equation Hicks equation KadomtsevPetviashvili equation...
    13 KB (1,105 words) - 18:40, 13 December 2023
  • completely integrable systems of partial differential equations, such as the KadomtsevPetviashvili equation and the associated KP hierarchy. These can be expressed...
    48 KB (8,384 words) - 04:21, 24 April 2024
  • KP-bil, or Terrängbil m/42 KP, a Swedish armoured vehicle KadomtsevPetviashvili equation, describing waves Keratosis pilaris, a human genetic disorder...
    3 KB (365 words) - 13:59, 5 March 2024
  • Thumbnail for Vladimir Petviashvili
    waves in plasma containing soliton solutions, known as the Kadomtsev-Petviashvili equation (1970). Doctoral dissertation (1978) - "The theory of strongly...
    5 KB (429 words) - 12:40, 23 March 2023
  • the KadomtsevPetviashvili equation, it is integrable via the inverse scattering transform for the 2-dimensional stationary Schrödinger equation. Similarly...
    9 KB (1,173 words) - 21:51, 1 February 2024
  • relations (FCRs) similar in form to the Yang–Baxter equation used to derive the Bethe equations. The FCRs also show there is a large commuting subalgebra...
    16 KB (2,729 words) - 13:14, 28 April 2024
  • Thumbnail for Boris Kadomtsev
    particles. In 1970, Kadomtsev and Vladimir Petviashvili introduced into plasma physics the KadomtsevPetviashvili equation (KP equation), a nonlinear partial...
    8 KB (570 words) - 09:04, 28 August 2023
  • The sine-Gordon equation is a nonlinear hyperbolic partial differential equation for a function φ {\displaystyle \varphi } dependent on two variables typically...
    33 KB (4,704 words) - 11:43, 26 March 2024
  • Thumbnail for Boussinesq approximation (water waves)
    Boussinesq equations reduce to: the Korteweg–de Vries equation for wave propagation in one horizontal dimension, the KadomtsevPetviashvili equation for (near...
    20 KB (2,509 words) - 19:27, 25 December 2022
  • Observatory. Uncle of the artist Vladimir Petviashvili is a famous physicist, co-author of the KadomtsevPetviashvili equation, winner of the Kurchatov award. On...
    10 KB (1,206 words) - 08:53, 29 January 2024
  • Davey–Stewartson equation KadomtsevPetviashvili equation (also known as KP equation) Korteweg–de Vries equation (also known as KdV equation) Luke's variational...
    30 KB (3,361 words) - 18:22, 21 April 2024
  • Thumbnail for Inverse scattering transform
    Inverse scattering transform (category Partial differential equations)
    Schrödinger equation, sine-Gordon equation, modified Korteweg–De Vries equation, KadomtsevPetviashvili equation, the Ishimori equation, Toda lattice equation, and...
    18 KB (2,495 words) - 06:28, 1 May 2024
  • dispersionless KadomtsevPetviashvili equation (dKPE), also known (up to an inessential linear change of variables) as the Khokhlov–Zabolotskaya equation, has the...
    7 KB (1,087 words) - 01:10, 28 March 2024
  • Thumbnail for Sergei Novikov (mathematician)
    the corresponding theta function provided a solution to the KadomtsevPetviashvili equation of soliton theory. This was proved by Takahiro Shiota (1986)...
    12 KB (1,141 words) - 11:02, 26 April 2024
  • Jimbo, M. Kashiwara and T. Miwa, "Operator approach to the Kadomtsev-Petviashvili equation III". J. Phys. Soc. Jap. 50 (11): 3806–3812 (1981). doi:10...
    3 KB (294 words) - 20:58, 4 May 2024
  • Gaudin model. In turn, the Schlesinger equations are the classical limit of the Knizhnik–Zamolodchikov equations). Almost all integrable systems of classical...
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  • coordinates and the angle coordinates evolve linearly in time. Thus the equations of motion for the system can be solved in quadratures if the level simultaneous...
    7 KB (1,128 words) - 08:49, 30 October 2023
  • This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References...
    30 KB (438 words) - 18:40, 13 December 2023
  • Schlesinger equations. It is a classical analogue to the quantum Gaudin model due to Michel Gaudin (similarly, the Schlesinger equations are a classical...
    9 KB (1,403 words) - 11:30, 9 July 2023
  • substantial role in some contemporary theories, for example of the KadomtsevPetviashvili equation. One advantage of the method is that it allows one to apply...
    3 KB (389 words) - 17:08, 29 July 2021
  • See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations....
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  • two-dimensional surface defects. The theory is also related to the Yang–Baxter equation and quantum groups such as the Yangian. The theory is similar to three-dimensional...
    11 KB (1,456 words) - 10:29, 6 January 2024
  • completely integrable equations such as the Korteweg–De Vries equation (KdV) equation, the KadomtsevPetviashvili equation (KP) equation, the nonlinear Schrödinger...
    3 KB (313 words) - 11:03, 26 January 2024