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

From: Investigation of Solitary wave solutions for Vakhnenko-Parkes equation via exp-function and Exp(−ϕ(ξ))-expansion method

Liu and He (Liu and He2013) Our solution
(i) If A = 1, B = 0, C − 1 = μ and c2 = 0 then from equation (19) we obtain u ξ =6μ6μ cot 2 μ ξ (i) If λ = 0, C = 0 then our solutions (33) reduced to u ξ =6μ6μ cot 2 μ ξ
(ii) If A = 1, B = 0, C − 1 = μ and c2 = 0 then from equation (20) we obtain u ξ =6μ+6μ coth 2 μ ξ (ii) If λ = 0, C = 0 then our solutions (32) reduced to u ξ =6μ+6μ coth 2 μ ξ