Table 1 Comparison between Liu and He’s (Liu and He 2013 ) solutions and our solutions

(i) If A = 1, B = 0, C − 1 = μ and c₂ = 0 then from equation (19) we obtain $u\left(\xi \right)=-6\mu -6\mu {cot}^2\left(\sqrt{\mu }\xi \right)$

(i) If λ = 0, C = 0 then our solutions (33) reduced to $u\left(\xi \right)=-6\mu -6\mu {cot}^2\left(\sqrt{\mu }\xi \right)$

(ii) If A = 1, B = 0, C − 1 = μ and c₂ = 0 then from equation (20) we obtain $u\left(\xi \right)=-6\mu +6\mu {coth}^2\left(\sqrt{-\mu }\xi \right)$

(ii) If λ = 0, C = 0 then our solutions (32) reduced to $u\left(\xi \right)=-6\mu +6\mu {coth}^2\left(\sqrt{-\mu }\xi \right)$