Exact Solutions of the Kudryashov-Sinelshchikov Equation Using the Multiple 𝐺^′/𝐺-Expansion Method

Table 1

Relations between values of 𝑟, 𝑝, 𝑞 and corresponding 𝐺(𝜉) in (10).

𝑟	𝑝	𝑞	𝐺(𝜉)
1	−(𝑚^2+1)	𝑚^2	𝑠𝑛(𝜉), 𝑐𝑑(𝜉)
1−𝑚^2	𝑚^2−1	−𝑚^2	𝑐𝑛(𝜉)
𝑚^2−1	2−𝑚^2	−1	𝑑𝑛(𝜉)
𝑚^2	−(𝑚^2+1)	1	𝑛𝑠(𝜉), 𝑑𝑐(𝜉)
−𝑚^2	2𝑚^2−1	1−𝑚^2	𝑛𝑐(𝜉)
−1	2−𝑚^2	𝑚^2−1	𝑛𝑑(𝜉)
1	2−𝑚^2	1−𝑚^2	𝑠𝑐(𝜉)
1	2𝑚^2−1	−𝑚^2(1−𝑚^2)	𝑠𝑑(𝜉)
1−𝑚^2	2−𝑚^2	1	𝑐𝑠(𝜉)
−𝑚^2(1−𝑚^2)	2𝑚^2−1	1	𝑠𝑑(𝜉)
1/4	(1−2𝑚^2)/2	1/4	𝑛𝑠(𝜉)±𝑐𝑠(𝜉)
(1−𝑚^2)/4	(1+𝑚^2)/2	(1−𝑚^2)/4	𝑛𝑐(𝜉)±𝑠𝑐(𝜉)
𝑚^2/4	(𝑚^2−2)/2	1/4	𝑛𝑠(𝜉)±𝑑𝑠(𝜉)
𝑚^2/4	(𝑚^2−2)/2	𝑚^2/4	𝑠𝑛(𝜉)±𝑖𝑐𝑛(𝜉)