The dynamical behavior of mixed-type soliton solutions described by (2+1)-dimensional Bogoyavlensky-Konopelchenko equation with variable coefficients

This paper investigates the (2+ 1)-dimensional BogoyavlenskyKonopelchenko equation with variable coefficients via the generalized unified method. Mixed type of N-soliton solutions are obtained when N = 1 and N = 2 in a rational form. The propagation and the dynamical behavior of these solutions is analyzed for different choices of the arbitrary variable coefficients. When N = 1, it is verified that the velocity of the soliton cannot be influenced by the variable coefficients. Furthermore, the shape and the amplitude of the soliton cannot be affected. For N = 2, the collision between the solitons, either two kink periodic soliton solutions or two kink and anti-kink soliton solutions, are elastic whether the coefficients of the equation are constant or variable.