peakon

peakon

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  • Peakon — In the theory of integrable systems, a peakon ( peaked soliton ) is a soliton with discontinuous first derivative; the wave profile is shaped like the graph of the function e^{ |x. Some examples of non linear partial differential equations with… …   Wikipedia

  • Degasperis–Procesi equation — In mathematical physics, the Degasperis–Procesi equation is one of only two exactly solvable equations in the following family of third order, non linear, dispersive PDEs: where κ and b are real parameters (b=3 for the Degasperis–Procesi… …   Wikipedia

  • Degasperis-Procesi equation — In mathematical physics, the Degasperis Procesi equation: displaystyle u t u {xxt} + 2kappa u x + 4u u x = 3 u x u {xx} + u u {xxx}is one of only two exactly solvable equations in the following family of third order, non linear, dispersive… …   Wikipedia

  • Camassa–Holm equation — In fluid dynamics, the Camassa–Holm equation is the integrable, dimensionless and non linear partial differential equation:u t + 2kappa u x u {xxt} + 3 u u x = 2 u x u {xx} + u u {xxx}. ,The equation was introduced by Camassa and HolmCamassa Holm …   Wikipedia

  • Soliton — In mathematics and physics, a soliton is a self reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of nonlinear and dispersive effects in the… …   Wikipedia

  • Queensland Rail — Type government owned corporation Industry Rail transport Founded 1865 …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

  • Dissipative soliton — Dissipative solitons (DSs) are stable solitary localized structures that arise in nonlinear spatially extended dissipative systems due to mechanisms of self organization. They can be considered as an extension of the classical soliton concept in… …   Wikipedia

  • Compacton — In the theory of integrable systems, a compacton, introduced in (Philip Rosenau James M. Hyman 1993), is a soliton with compact support. An example of an equation with compacton solutions is the generalization of the Korteweg–de Vries… …   Wikipedia

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