New Traveling Wave Solutions by the Extended Generalized Riccati Equation Mapping Method of the (2+1)-Dimensional Evolution Equation

Table 1

Comparison between Bekir [47] solutions and newly obtained solutions.

Bekir [47] solutions	New solutions
(i) If 𝐶1=1,𝐶2=12 and 𝜆^2−4𝜇=0, solution; Equation (4.9) (from Section  4) becomes: 𝑢5,6(𝜉)=±𝑖√322+𝑥.	(i) If 1𝑣=2,𝑙1=1,𝑦=0 and 𝑔27𝜂=𝑢5,6(𝜉),
	solution 𝑔27 becomes: 𝑢5,6(𝜉)=±𝑖√322+𝑥.
(ii) 𝐶1=1,𝐶2=−12 and 𝜆^2−4𝜇=0, solution; Equation (4.9) (from Section  4) becomes: 𝑢5,6(𝜉)=∓𝑖√322−𝑥.	(ii) If 𝑣=−12,𝑙1=1,𝑦=0 and 𝑔27𝜂=𝑢5,6(𝜉),
	solution 𝑔27 becomes: 𝑢5,6(𝜉)=∓𝑖√322−𝑥.
(iii) 𝐶1=0,𝐶2=1 and 𝜆^2−4𝜇=0, solution	(iii) If 𝑣=1,𝑙1=0,𝑦=0 and 𝑔27𝜂=𝑢5,6(𝜉),
Equation (4.9) (from Section  4) becomes: 𝑢5,6(𝜉)=∓𝑖√32𝑥.	solution 𝑔27 becomes: 𝑢5,6(𝜉)=∓𝑖√32𝑥.