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nlin.PS2013★ 6 cited
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…
nlin.PS2012★ 15 cited
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…