16 citations · 28 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Elliptic solutions and solitary waves of a higher order KdV--BBM long wave equation
Stefan C. Mancas, Ronald Adams
We provide conditions for existence of hyperbolic, unbounded periodic and elliptic solutions in terms of Weierstrass functions of both third and fifth-order KdV--BBM (Kortewe…