one-dimensional sine-Gordon equation

См. также в других словарях:

• 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

• Topological quantum number — In physics, a topological quantum number is any quantity, in a physical theory, that takes on only one of a discrete set of values, due to topological considerations. Most commonly, topological quantum numbers are topological invariants… …   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

• Breather — A breather is a nonlinear wave in which energy concentrates in a localized and oscillatory fashion. This contradicts with the expectations derived from the corresponding linear system for infinitesimal amplitudes, which tends towards an even… …   Wikipedia

• Martin David Kruskal — Born September 28, 1925(1925 09 28) New York City …   Wikipedia

• Nonlinear system — Not to be confused with Non linear editing system. This article describes the use of the term nonlinearity in mathematics. For other meanings, see nonlinearity (disambiguation). In mathematics, a nonlinear system is one that does not satisfy the… …   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

• 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

• List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   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

• Pseudosphere — In geometry, a pseudosphere of radius R is a surface of curvature −1/ R 2 (precisely, a complete, simply connected surface of that curvature), by analogy with the sphere of radius R , which is a surface of curvature 1/ R 2. The term was… …   Wikipedia