non-integrable equation
11Novikov–Veselov equation — In mathematics, the Novikov–Veselov equation (or Veselov–Novikov equation) is a natural (2+1) dimensional analogue of the Korteweg–de Vries (KdV) equation. Unlike another (2+1) dimensional analogue of KdV, the Kadomtsev–Petviashvili equation, it… …
12Helmholtz equation — The Helmholtz equation, named for Hermann von Helmholtz, is the elliptic partial differential equation:( abla^2 + k^2) A = 0where abla^2 is the Laplacian, k is a constant, and the unknown function A=A(x, y, z) is defined on n dimensional… …
13List of integrable models — This is a list of integrable models as well as classes of integrable models in physics.Integrable models in 1+1 dimensionsIn classical and quantum field theory:*free boson *free fermion *sine Gordon model *Thirring model *sinh Gordon model… …
14DÉRIVÉES PARTIELLES (ÉQUATIONS AUX) - Équations non linéaires — L’étude des équations aux dérivées partielles non linéaires se trouve à l’interface de nombreux problèmes scientifiques. En effet, la plupart des phénomènes de la physique ou des sciences de l’ingénieur sont non linéaires et une modélisation par… …
15Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …
16Wave equation — Not to be confused with Wave function. The wave equation is an important second order linear partial differential equation for the description of waves – as they occur in physics – such as sound waves, light waves and water waves. It arises in… …
17Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …
18Kadomtsev–Petviashvili equation — In mathematics, the Kadomtsev–Petviashvili equation (or KP equation) is a partial differential equation. It is also sometimes called the Kadomtsev Petviashvili Boussinesq equation. The KP equation is usually written as::displaystyle partial… …
19Picard-Fuchs equation — In mathematics, the Picard Fuchs equation is a linear ordinary differential equation whose solutions describe the periods of elliptic curves. DefinitionLet :j=frac{g 2^3}{g 2^3 27g 3^2}be the j invariant with g 2 and g 3 the modular invariants of …
20MARTINGALES (THÉORIE DES) — Le mot «martingale» évoque l’idée d’une stratégie pour gagner aux jeux de hasard. Cette notion tient une place essentielle dans toute la théorie des probabilités et s’est révélée être un langage très riche dans de nombreux domaines des… …
