46 citations · 342 across the 43 of their papers we have counts for
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Traveling wave solutions to Kawahara and related equations
Stefan C. Mancas
Traveling wave solutions to Kawahara equation (KE), transmission line (TL), and Korteweg-de Vries (KdV) equation are found by using an elliptic function method which is more genera…
Generalized Thomas-Fermi Equations as the Lampariello Class of Emden-Fowler Equations
Haret C. Rosu, Stefan C. Mancas
A one-parameter family of Emden-Fowler equations defined by Lampariello's parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fer…
Two integrable classes of Emden-Fowler equations with applications in astrophysics and cosmology
S. C. Mancas, H. C. Rosu
We show that some Emden-Fowler (EF) equations encountered in astrophysics and cosmology belong to two EF integrable classes of the type d^2z/dχ^2=A χ^{-λ-2}z^n for λ=(n-1)/2 (class…
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…