Traveling wave solutions of generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony and simplified modified form of Camassa–Holm equation exp(–φ(η)) – Expansion method

Figures & data

Fig. 1 Kink wave solution $u_1\left(\eta \right)$ when $a_2=1,a_0=2,y=0,\lambda =3,\mu =2,c_1=1$.

Fig. 2 Singular Kink wave solution $u_2\left(\eta \right)$ when $a_2=10,a_0=8,y=0,\lambda =7,\mu =5,c_1=-10$.

Fig. 3 Singular Kink wave solution $u_3\left(\eta \right)$ when $a_2=1,a_0=2,y=0,\lambda =1,c_1=-1$.

Fig. 4 Singular Kink wave solution$u_4\left(\eta \right)$ when $a_2=3,a_0=2,y=0,\lambda =5,\mu =4,c_1=-2$.

Fig. 5 Singular Kink wave solution $u_5\left(\eta \right)$ when $a_2=0.5,a_0=0.2,y=0,\lambda =0.1,c_1=-0.1$.

Fig. 6 Kink wave solution $u_1\left(\eta \right)$ when $C=1,a_0=0.1,y=0,\lambda =0.2,\mu =0.5,c_1=-0.3$.

Fig. 7 Periodic solution $u_2\left(\eta \right)$ when $a_0=1,C=1,y=0,\lambda =0.1,\mu =0.2,c_1=-0.1$.

Fig. 8 Singular Kink wave solution $u_3\left(\eta \right)$ when $\mu =0.1,C=1,y=0,\lambda =0.3,a_0=0.1,c_1=-0.1$.

Fig. 9 Singular Kink wave solution $u_4\left(\eta \right)$ when $a_0=0.1,C=1,y=0,\lambda =0.1,\mu =1,c_1=-0.1$.

Fig. 10 Singular Kink wave solution $u_5\left(\eta \right)$ when $C=1,y=0,\mu =0.1,a_0=0.1,c_1=-0.1$.