60 citations · 194 across the 13 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
nlin.SI2018★ 4 cited
Multicomplex solitons
Julia Cen, Andreas Fring
We discuss integrable extensions of real nonlinear wave equations with multi-soliton solutions, to their bicomplex, quaternionic, coquaternionic and octonionic versions. In particu…
quant-ph2018★ 23 cited
Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems
Julia Cen, Andreas Fring, Thomas Frith
We propose time-dependent Darboux (supersymmetric) transformations that provide a scheme for the calculation of explicitly time-dependent solvable non-Hermitian partner Hamiltonian…
nlin.SI2018★ 33 cited
Asymptotic and scattering behaviour for degenerate multi-solitons in the Hirota equation
Julia Cen, Andreas Fring
We construct all higher order conserved charges from a general two-dimensional zero curvature condition using a Gardner transformation. Employing two of those charges in the defini…