# sine-Gordon equation

sine-Gordon equation
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Универсальный русско-английский словарь. . 2011.

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• Sine-Gordon equation — The sine Gordon equation is a nonlinear hyperbolic partial differential equation in 1+1 dimensions involving the d Alembert operator and the sine of the unknown function. It was originally considered in the nineteenth century in the course of… …   Wikipedia

• Sine — For other uses, see Sine (disambiguation). Sine Basic features Parity odd Domain ( ∞,∞) Codomain [ 1,1] P …   Wikipedia

• Dispersive partial differential equation — In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context, dispersion means that waves of different wavelength propagate at different phase velocities.… …   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

• 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

• Bäcklund transform — In mathematics, Bäcklund transforms or Bäcklund transformations relate partial differential equations and their solutions. They are an important tool in soliton theory and integrable systems. A Bäcklund transform is typically a system of first… …   Wikipedia

• Transformation de Bäcklund — Les transformations de Bäcklund (nommées ainsi en référence au mathématicien suédois Albert Victor Bäcklund) sont un outil mathématique relatif aux équations aux dérivées partielles et à leurs solutions. Elles sont importantes notamment dans l… …   Wikipédia en Français

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

• Long Josephson junction — In superconductivity, a long Josephson junction (LJJ) is a Josephson junction which has one or more dimensions longer than the Josephson penetration depth lambda J. This definition is not strict.In terms of underlying model a short Josephson… …   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

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