The sine-Gordon equation is a nonlinear hyperbolic partial differential equation for a function φ {\displaystyle \varphi } dependent on two variables typically...

be rewritten as the sine-Gordon equation. In particular, for the tractroid the Gauss–Codazzi equations are the sine-Gordon equation applied to the static...

continuous media equations or discrete lattice equations. The exactly solvable sine-Gordon equation and the focusing nonlinear Schrödinger equation are examples...

solution of a linear differential equation. Pseudospherical surfaces can be described as solutions of the sine-Gordon equation, and hence the Bäcklund transformation...

transforms Sine quadrant Sine-Gordon equation Sinë, village in Albania Sine, Washington, a community in the United States Kingdom of Sine, a former kingdom...

Schrödinger equation Korteweg–de Vries equation (or KdV equation) Boussinesq equation (water waves) sine–Gordon equation Dispersion (optics) Dispersion (water...

The Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger...

trigonometric identities Sinc function Sine and cosine transforms Sine integral Sine quadrant Sine wave Sine–Gordon equation Sinusoidal model SOH-CAH-TOA Trigonometric...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

phase ϕ {\displaystyle \phi } in LJJ is the so-called perturbed sine-Gordon equation. For the case of 1D LJJ it looks like: λ J 2 ϕ x x − ω p − 2 ϕ t...

Nonlinear Schrödinger equation Power-flow study Richards equation for unsaturated water flow Self-balancing unicycle Sine-Gordon equation Van der Pol oscillator...

Schrödinger equation, sine-Gordon equation, modified Korteweg–De Vries equation, Kadomtsev–Petviashvili equation, the Ishimori equation, Toda lattice equation, and...

S^{3}} sigma model (which is also a principal chiral model) and the sine-Gordon model. Calculating certain correlation functions in the planar or large...

surfaces which correspond to breather solutions of the sine-Gordon equation, a differential equation appearing in theoretical physics. The surfaces have...

equation Nonlinear sigma models Sine–Gordon equation Thirring model Three-wave equation Integrable PDEs in 2 + 1 dimensions Davey–Stewartson equation...

such as the sine-Gordon equation, the Korteweg–de Vries equation, and the Ishimori equation. The one-dimensional sine-Gordon equation makes for a particularly...

such as the sine-Gordon equation, the Lax pair refers to matrices that satisfy the zero-curvature equation rather than the Lax equation. Furthermore...

Cauchy–Riemann equations are a simple example of a Bäcklund transform. More complicated, generally non-linear Bäcklund transforms, such as in the sine-Gordon equation...

Korteweg–de Vries equation, the nonlinear Schrödinger equation, the coupled nonlinear Schrödinger equation, and the sine-Gordon equation. The soliton solutions...

(materials science), a crystallographic defect Kink, a solution to the sine-Gordon equation Kerberized Internet Negotiation of Keys (KINK), a Kerberos-based...

Coleman theorem Equivalence of the Thirring model and the quantum sine-Gordon equation Semiclassical analysis of the fate of a false vacuum Coleman–Weinberg...

equivalent to the sine-Gordon bosons. This phenomenon is more general in two dimensions and is called bosonization. Dirac equation Gross–Neveu model Nonlinear...

In mathematics, the Korteweg–De Vries (KdV) equation is a partial differential equation (PDE) which serves as a mathematical model of waves on shallow...

conserved quantities for the sine-Gordon equation. This led to the discovery of an inverse scattering method for that equation by M. J. Ablowitz, D. J. Kaup...

Schlesinger's equations Sine-Gordon equation Sturm–Liouville theory of orthogonal polynomials and separable partial differential equations Universal differential...

University Press. ISBN 978-0-521-61719-2. Coleman, S. (1975). "Quantum sine-Gordon equation as the massive Thirring model" Physical Review D11 2088; Witten,...

Josephson junctions with an extra dimension) described by the 2D sine-Gordon equation, shape waves are distortions of a Josephson vortex line of an arbitrary...

1)-dimensional spacetime, a skyrmion can be approximated by a soliton of the Sine–Gordon equation; after quantisation by the Bethe ansatz or otherwise, it turns into...

solution to the Sine-Gordon equation, then the following squeeze mapping (now known as Lie transform) indicates other solutions of that equation: Θ=f(ms, σm)...

integrable sine-Gordon (SG) equation, which allows for soliton solutions. For this reason the FK model is also known as the "discrete sine-Gordon" or "periodic...