1 citations · 1 across the 7 of their papers we have counts for
7 papers
Interaction-Phase Dynamics and Spectral Organization in Damped Higher-Order Nonlinear Schrödinger Models
C. M. Schober
We investigate the dynamical mechanisms underlying contrasting nonlinear Floquet spectral evolutions in viscously damped and nonlinear mean-flow damped higher-order nonlinear Schrö…
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…
Linear Instability of the Peregrine Breather: Numerical and Analytical Investigations
Annalisa Calini, Constance M. Schober
We study the linear stability of the Peregrine breather both numerically and with analytical arguments based on its derivation as the singular limit of a single-mode spatially peri…
Local Lagrangian Formalism and Discretization of the Heisenberg Magnet Model
D. Karpeev, C. M. Schober
In this paper we develop the Lagrangian and multisymplectic structures of the Heisenberg magnet (HM) model which are then used as the basis for geometric discretizations of HM. Des…
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…