468 citations · 2.1k across the 70 of their papers we have counts for
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An explicit mapping between the frequency domain and the time domain representations of nonlinear systems
Marissa Condon, Rossen I. Ivanov
Explicit expressions are presented that describe the input-output behaviour of a nonlinear system in both the frequency and the time domain. The expressions are based on a set of c…
Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity
Adrian Constantin, Rossen I. Ivanov, Emil M. Prodanov
We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for ste…
Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation
Roy Choudhury, Rossen I. Ivanov, Yue Liu
The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vrie…
Empirical balanced truncation of nonlinear systems
Marissa Condon, Rossen I. Ivanov
Novel constructions of empirical controllability and observability gramians for nonlinear systems for subsequent use in a balanced truncation style of model reduction are proposed.…
On the Integrability of a Class of Nonlinear Dispersive Wave Equations
Rossen I. Ivanov
We investigate the integrability of a class of 1+1 dimensional models describing nonlinear dispersive waves in continuous media, e.g. cylindrical compressible hyperelastic rods, sh…
Inverse Scattering Transform for the Camassa-Holm equation
Adrian Constantin, Vladimir S. Gerdjikov, Rossen I. Ivanov
An Inverse Scattering Method is developed for the Camassa-Holm equation. As an illustration of our approach the solutions corresponding to the reflectionless potentials are explici…