24 citations · 45 across the 3 of their papers we have counts for
4 papers
Periodic and Chaotic Traveling Wave Patterns in Reaction-Diffusion/ Predator-Prey Models with General Nonlinearities
Stefan C. Mancas, Roy S. Choudhury
Traveling wavetrains in generalized two-species predator-prey models and two-component reaction-diffusion equations are considered. The stability of the fixed points of the traveli…
Pulses and Snakes in Ginzburg--Landau Equation
Stefan C. Mancas, S. Roy Choudhury
Using a variational formulation for partial differential equations (PDEs) combined with numerical simulations on ordinary differential equations (ODEs), we find two categories (pul…
Bifurcations and Competing Coherent Structures in the Cubic-Quintic Ginzburg-Landau Equation I: Plane Wave (CW) Solutions
Stefan C. Mancas, S. Roy Choudhury
Singularity Theory is used to comprehensively investigate the bifurcations of the steady-states of the traveling wave ODEs of the cubic-quintic Ginzburg-Landau equation (CGLE). The…
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…