International Journal of Differential Equations

Research Article

A Nonlinear Differential Equation Related to the Jacobi Elliptic Functions

Figure 1

The solution 𝜓 ( 𝑣 ) = l n ( ( 1 + s n ( 𝑣 , 𝑘 ) ) / ( 1 − s n ( 𝑣 , 𝑘 ) ) ) for the Poisson Boltzmann equation. The parameters are 𝑘 2 = 0 . 7 5 and 𝐾 ′ = 1 . 6 8 6 .
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