Similarity reduction and multiple novel travelling and solitary wave solutions for the two-dimensional Bogoyavlensky–Konopelchenko equation with variable coefficients

Figures & data

Figure 1. (a) The one soliton wave solution, (b) the two soliton wave solution, (c) the 2D plot of the one soliton wave and (d) the 2D plot of the two soliton wave.

Figure 2. (a) The kink soliton wave takes a parabolic, (b) the parabolic two soliton waves, (c) the 2D plot for the parabolic one soliton wave and (d) the 2D shape of the parabolic two soliton waves.

Figure 3. (a) The periodic one soliton wave ${\phi }_{11}$, (b) the periodic two solitons wave ${\phi }_{12}$, (c) the 2D plot of the periodic soliton wave ${\phi }_{11}$ and (d) the 2D plot of the two solitons ${\phi }_{12}$.