The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

Table 1

The relation between the Jacobi elliptic functions and the trigonometrical functions, hyperbolic functions.

𝑚	𝑠𝑛 (𝜉,𝑚)	𝑐𝑛 (𝜉,𝑚)	𝑑𝑛 (𝜉,𝑚)	𝑛𝑠 (𝜉,𝑚)	𝑐𝑠 (𝜉,𝑚)	𝑑𝑠 (𝜉,𝑚)
0	sin(𝜉)	cos (𝜉)	1	csc (𝜉)	cot (𝜉)	csc (𝜉)
1	tanh (𝜉)	sech (𝜉)	sech (𝜉)	coth (𝜉)	csch (𝜉)	csch (𝜉)