Kadomtsev-Petviashvili equation

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• Kadomtsev–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… …   Wikipedia

• Novikov–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… …   Wikipedia

• Dispersionless equation — Dispersionless (or quasi classical) limits of integrable partial differential equations (PDE) arise in various problems of mathematics and physics and are intensively studied in the recent literature (see, f.i., [1] [5]). Contents 1 Examples 1.1… …   Wikipedia

• Korteweg–de Vries equation — In mathematics, the Korteweg–de Vries equation (KdV equation for short) is a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical example of an exactly solvable model, that is, a non linear partial …   Wikipedia

• Inverse scattering transform — In mathematics, the inverse scattering transform is a method for solving some non linear partial differential equations. It is one of the most important developments in mathematical physics in the past 40 years. The method is a non linear… …   Wikipedia

• Boussinesq approximation (water waves) — In fluid dynamics, the Boussinesq approximation for water waves is an approximation valid for weakly non linear and fairly long waves. The approximation is named after Joseph Boussinesq, who first derived them in response to the observation by… …   Wikipedia

• Integrable system — In mathematics and physics, there are various distinct notions that are referred to under the name of integrable systems. In the general theory of differential systems, there is Frobenius integrability, which refers to overdetermined systems. In… …   Wikipedia

• Dispersion (water waves) — This article is about dispersion of waves on a water surface. For other forms of dispersion, see Dispersion (disambiguation). In fluid dynamics, dispersion of water waves generally refers to frequency dispersion, which means that waves of… …   Wikipedia

• Lax pair — In mathematics, in the theory of differential equations, a Lax pair is a pair of time dependent matrices that describe certain solutions of differential equations. They were developed by Peter Lax to discuss solitons in continuous media. The… …   Wikipedia

• List of mathematics articles (K) — NOTOC K K approximation of k hitting set K ary tree K core K edge connected graph K equivalence K factor error K finite K function K homology K means algorithm K medoids K minimum spanning tree K Poincaré algebra K Poincaré group K set (geometry) …   Wikipedia

• Prym variety — In mathematics, the Prym variety construction is a method in algebraic geometry of making an abelian variety from a morphism of algebraic curves. In its original form, it was applied to an unramified double covering of a Riemann surface, and was… …   Wikipedia