Resilience of constituent solitons in multisoliton scattering off barriers
arXiv:1501.00075
Abstract
We introduce "superheated integrability," which produces characteristic staircase transmission plots for barrier collisions of breathers of the nonlinear Schrödinger equation. The effect makes tangible the inverse scattering transform, which treats the velocities and norms of the constituent solitons as the real and imaginary parts of the eigenvalues of the Lax operator. If all the norms are much greater than the velocities, an integrability-breaking potential may nonperturbatively change the velocities while having no measurable effect on the norms. This could be used to improve atomic interferometers.
Submission to AIMS Mathematics, special issue "New trends in mathematical analysis of solitary wave solutions to nonlinear partial differential equations (including fractional PDE)," 24 pages, 9 figures
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