Abstract
Exact explicit soliton solutions are derived for two-coupled non-linear equations of motion relevant to vortex dynamics in anisotropic superconductors. The crossover temperature from quantum to classical behavior and Bose-glass exponent are expressed as a function of induction, but not as an explicit function of angle. The exponent has maximum value at accommodation field, separating a single-vortex regime from the collective pinning regime. The quantum magnetization relaxation rate is expressed in terms of pinning energy, angle, anisotropy, coupling constant, dissipation and glassy exponent. The results are qualitatively consistent with the experimental observations.
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