4 citations · 4 across the 1 of their papers we have counts for
3 papers
nlin.PS2019
Dissipative periodic and chaotic patterns to the KdV--Burgers and Gardner equations
Stefan C. Mancas, Ronald Adams
We investigate the KdV-Burgers and Gardner equations with dissipation and external perturbation terms by the approach of dynamical systems and Shil'nikov's analysis. The stability…
math-ph2018
Stability analysis of orbital modes for a generalized Lane-Emden equation
Ronald Adams, Stefan C. Mancas, Haret C. Rosu
We present a stability analysis of the standard nonautonomous systems type for a recently introduced generalized Lane-Emden equation which is shown to explain the presence of some…
math-ph2017★ 4 cited
Stability of solitary and cnoidal traveling wave solutions for a fifth order Korteweg-de Vries equation
Ronald Adams, Stefan C. Mancas
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave solutions (cnoidal waves) for a Korteweg-de Vries (KdV) equation which includes a fift…