Sine-gordon equation - Open Access .click

Physica Scripta, 2012
The sine-Gordon equations are considered in Euclidean spaces with dimensionality d = 2 and 4. General N-soliton solutions are constructed for d = 2 by the method of vertex operators. Special solutions with one and two solitons are obtained for d = 4 explicitly.
Jun Sakaguchi, Kiyoshi Sogo
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Sine-Gordon Equation

Journal of Mathematical Physics, 1970
The equation φtt − φxx + m2 sin φ = 0 is presented as a model field theory and studied in detail. It exhibits discrete conserved quantities and extended particle states, with the proper behavior regarding covariance, stability, etc. Those particles do not interact with small oscillations, and we show that this (plus a few reasonable requirements ...
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Breather Dynamics of the Sine-Gordon Equation

Communications in Theoretical Physics, 2013
Summary: This paper studies the adiabatic dynamics of the breather soliton of the sine-Gordon equation. The integrals of motion are found and then used in soliton perturbation theory to derive the differential equation governing the soliton velocity. Time-dependent functions arise and their properties are studied.
Johnson, Stephen, Biswas, Anjan
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physics
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kdv equations korteweg-de vries equations

soliton solutions
mathematics
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exactly solvable and integrable systems nlin.si
nuclear and particle physics
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