The center problem for Z2-symmetric nilpotent vector fields
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.079
Abstract: Abstract We say that a polynomial differential system x ˙ = P ( x , y ) , y ˙ = Q ( x , y ) having the origin as a singular point is… read more here.
Keywords: problem symmetric; nilpotent vector; center problem; first integral ... See more keywords
First integral method for non-linear differential equations with conformable derivative
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/2018012
Abstract: In this paper, we present an analysis based on the first integral method in order to construct exact solutions of the nonlinear fractional partial differential equations (FPDE) described by beta-derivative. A general scheme to find… read more here.
Keywords: method non; non linear; first integral; differential equations ... See more keywords
A complex-valued first integral of Navier-Stokes equations: Unsteady Couette flow in a corrugated channel system
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4980086
Abstract: For a two-dimensional incompressible viscous flow, a first integral of the governing equations of motion is constructed based on a reformulation of the unsteady Navier-Stokes equations in terms of complex variables and the subsequent introduction… read more here.
Keywords: couette flow; stokes equations; first integral; unsteady couette ... See more keywords