The focusing NLS equation with step-like oscillating background: the genus 3 sector
DOI10.1007/s00220-021-04288-4zbMath1508.35156arXiv2005.02822MaRDI QIDQ6340162
Dimitry Shepelsky, Jonatan Lenells, Anne Boutet de Monvel-Berthier
Publication date: 6 May 2020
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Theta functions and abelian varieties (14K25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Riemann-Hilbert problems in context of PDEs (35Q15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
