Reply to Comment on: ''Exact solutions of the Lawrence-Doniach model for layered superconductors''

TL;DR

This paper refutes a recent comment claiming to disprove the instability of isolated Josephson vortices in layered superconductors, providing a comprehensive classification of vortex solutions and analyzing experimental data.

Contribution

It offers a definitive rebuttal to prior claims and presents a complete classification of vortex solutions in layered superconductors.

Findings

Disproved the claim of vortex stability in external fields.

Provided a complete classification of soliton solutions.

Analyzed experimental data on vortex penetration.

Abstract

In the recent Comment [V. M. Krasnov, Phys. Rev. B vol. 65, 096503 (2002)], the author claims to have ''disproved'' our theoretical conclusion [S. V. Kuplevakhsky, Phys. Rev. B vol. 60, 7496 (1999); Phys. Rev. B vol. 63, 054508 (2001)] that isolated Josephson vortices in layered superconductors and stacked junctions are absolutely unstable in the presence of an external field. We show that this claim has no grounds. Moreover, by solving an appropriate boundary value problem, we obtain a complete classification of soliton (vortex) solutions to coupled static sine-Gordon equations. We also discuss the problem of vortex penetration and analyze available experimental data.