1 citations · 1 across the 6 of their papers we have counts for
6 papers
Higher-Order Extensions of Weakly Viscous Dysthe Theory and a Phase-Lag Model for Nonlinear Mean-Flow Damping
C. M. Schober, A. Islas
We extend the Carter-Govan multiple-scales analysis of weakly viscous, narrowband deep-water wave packets beyond Dysthe order within the potential-flow reduction of Dias, Dyachenko…
Soliton-like Rogue Wave Dynamics in Dissipative Higher-Order NLS Models: A Floquet Spectral Perspective
C. M. Schober, A. Islas
We investigate rogue wave formation and spectral downshifting in the higher-order nonlinear Schrödinger (HONLS) equation and its dissipative extensions: the nonlinear mean-flow dam…
Nonlinear damped spatially periodic breathers and the emergence of soliton-like rogue waves
C. M. Schober, A. Islas
The spatially periodic breather solutions (SPBs) of the nonlinear Schrödinger equation, prominent in modeling rogue waves, are unstable. In this paper we numerically investigate th…
On the stabilization of breather-type solutions of the damped higher order nonlinear Schrödinger equation
Constance M. Schober, Alvaro L. Islas
Spatially periodic breather solutions (SPBs) of the nonlinear Schrö\-dinger (NLS) equation are frequently used to model rogue waves and are typically unstable. In this paper we stu…
Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs
Alvaro L. Islas, Constance M. Schober
Several recently developed multisymplectic schemes for Hamiltonian PDEs have been shown to preserve associated local conservation laws and constraints very well in long time numeri…
Predicting rogue waves in random oceanic sea states
Constance Schober, Alvaro Islas
Using the inverse spectral theory of the nonlinear Schrodinger (NLS) equation we correlate the development of rogue waves in oceanic sea states characterized by the JONSWAP spectru…