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nlin.PS2013
Numerical Simulations of Snake Dissipative Solitons in Complex Cubic-Quintic Ginzburg-Landau Equation
Stefan C. Mancas, Harihar Khanal
Numerical simulations of the complex cubic-quintic Ginzburg-Landau equation (CCQGLE), a canonical equation governing the weakly nonlinear behavior of dissipative systems in a wide…
nlin.PS2013★ 18 cited
Weierstrass traveling wave solutions for dissipative BBM equation
Stefan C. Mancas, Greg Spradlin, Harihar Khanal
In this paper the effect of a small dissipation on waves is included to find exact solutions to the modified BBM equation. Using Lyapunov functions and dynamical systems theory, we…