Numerical Study of Fluxon Solutions of Sine-Gordon Equation under the Influence of the Boundary Conditions
The dependence on the boundary conditions of the fluxon solutions of a boundary problem for the sine-Gordon equation (SGE) is investigated numerically. Interconnection between fluxon and constant solutions is analyzed. Numerical results are discussed in the context of the long Josephson junction model.
Keywordslong Josephson junction sine-Gordon equation Sturm-Liouville problem Newton’s method fluxon bifurcation numerical continuation
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