Numerical Study of Fluxon Solutions of Sine-Gordon Equation under the Influence of the Boundary Conditions
نویسندگان
چکیده
where φ is the magnetic flux distribution, he – the external magnetic field, γ – the external current and α ≥ 0 – the dissipation coefficient. Accounting of the second harmonic in the Fourierdecomposition of the Josephson current yealds the double sine-Gordon equation. The effect of the second harmonic contribution on the properties of magnetic flux in the long JJ model was numerically investigated in [1, 2, 3, 4]. Here, we present results of numerical investigation [5] of the the static fluxon solutions of Eq. (1) under the influence of the external magnetic field he in (2). Such solutions satisfy the following boundary problem
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