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Numerical Solutions to the Sine-Gordon Equation

Published 12 Dec 2012 in physics.comp-ph and nlin.PS | (1212.2716v1)

Abstract: The sine-Gordon equation is a nonlinear partial differential equation. It is known that the sine-Gordon has soliton solutions in the 1D and 2D cases, but such solutions are not known to exist in the 3D case. Several numerical solutions to the 1D, 2D, and 3D sine-Gordon equation are presented and comments are given on the nature of the solutions.

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