9 citations · 12 across the 9 of their papers we have counts for
9 papers
Stokes Waves in Water of Finite Depth
Eleanor Byrnes, Bernard Deconinck, Anastassiya Semenova
Periodic water waves of permanent form traveling at constant speed, the so-called Stokes waves, are studied in water of fixed finite depth using methods previously used in water of…
Stokes Waves in Finite Depth Fluids
Anastassiya Semenova, Eleanor Byrnes
We consider traveling waves on a surface of an ideal fluid of finite depth. The equation describing Stokes waves in conformal variables formulation are referred to as the Babenko e…
Two-Crested Stokes Waves
Anastassiya Semenova
We study two-crested traveling Stokes waves on the surface of an ideal fluid with infinite depth. Following Chen and Saffman (1980), we refer to these waves as class …
Self-similarity and recurrence in stability spectra of near-extreme Stokes waves
Bernard Deconinck, Sergey A. Dyachenko, Anastassiya Semenova
We consider steady surface waves in an infinitely deep two--dimensional ideal fluid with potential flow, focusing on high-amplitude waves near the steepest wave with a 120 degree c…
Quasiperiodic perturbations of Stokes waves: Secondary bifurcations and stability
Sergey A. Dyachenko, Anastassiya Semenova
We develop a numerical method based on canonical conformal variables to study two eigenvalue problems for operators fundamental to finding a Stokes wave and its stability in a 2D i…
Transverse spectral Instabilities in rotation-modified Kadomtsev-Petviashvili equation and related models
Bhavna, Ashish Kumar Pandey, Anastassiya Semenova
The rotation modified Kadomtsev Petviashvili equation which is also known as the Kadomtsev Petviashvili Ostrovsky equation, describes the gradual wave field diffusion in the transv…
The instability of near-extreme Stokes waves
Bernard Deconinck, Sergey A. Dyachenko, Pavel M. Lushnikov +1
We study the stability of Stokes waves on a free surface of an ideal fluid of infinite depth. For small steepness the modulational instability dominates the dynamics, but its growt…
Superharmonic Instability of Stokes Waves
Alexander O. Korotkevich, Pavel M. Lushnikov, Anastassiya A. Semenova +1
A stability of nearly limiting Stokes waves to superharmonic perturbations is considered numerically. The new, previously inaccessible branches of superharmonic instability were in…
Comparison of Split-Step and Hamiltonian Integration Methods for Simulation of the Nonlinear Schrödinger Equation
Anastassiya Semenova, Sergey A. Dyachenko, Alexander O. Korotkevich +1
We provide a systematic comparison of two numerical methods to solve the widely used nonlinear Schrödinger equation. The first one is the standard second order split-step (SS2) met…