46 citations · 342 across the 43 of their papers we have counts for
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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…
physics.gen-ph2012
Solitary waves, periodic and elliptic solutions to the Benjamin, Bona & Mahony (BBM) equation modified by viscosity
Stefan C. Mancas, Harihar Khanal, Shardad G. Sajjadi
In this paper, we use a traveling wave reduction or a so-called spatial approximation to comprehensively investigate periodic and solitary wave solutions of the modified Benjamin,…
math-ph2012★ 46 cited
Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations
Stefan C. Mancas, Haret C. Rosu
We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first…