We study two-component evolutionary systems of a homogeneous KdV equations of second and third order. The homotopy analysis method (HAM) is used for analytical treatment of these systems. The auxiliary parameter h of HAM is freely chosen from the stability region of the h-curve obtained for each proposed system.
Mohammed Ali. Marwan Alquran. Mahmoud Mohammad. "Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method." J. Appl. Math. 2012 1 - 10, 2012. https://doi.org/10.1155/2012/569098