Solitonic solutions for homogeneous KdV systems by homotopy analysis method
Summary: 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.
scientific article; zbMATH DE number 6106251
scientific article