New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the Exp-Function Method

Table 1

Comparison between Zayed [52] solutions and our solutions.

Zayed [52] solutions	Our solutions
(i) If 𝜆=2,𝜇=0, equation (3.40) becomes 𝑢(𝜂)=±6𝑖√2𝛼tanh𝜂.	(i) Solution (3.17) is 𝑢(𝜂)=±6𝑖√2𝛼tanh𝜂.
(ii) If 1+𝜆^2=4𝜇 and 𝛼 is replaced with 𝛽, equation (3.38) becomes 𝑢(𝜂)=±3𝑖√2𝛽tan2𝜂.	(ii) If 𝜂 is replaced with 𝑖𝜂, solution (3.19) becomes 𝑢(𝜂)=±3𝑖√2𝛽tan2𝜂.