Some Nonlinear Vortex Solutions

Table 6

Special cases of the solutions from Table 4 with 𝑏=𝑎: EE1A and EE1B are special cases of EE1; EE2A and EE2B are special cases of EE2.

exp(𝜓)	∇^2𝜓
𝑛𝑑^2(𝑦∣𝑎)−𝑠𝑛^2(𝑥∣𝑎)	2(𝑎−1)𝑒^𝜓	EE1A
𝑠𝑑^2(𝑦∣𝑎)−𝑠𝑑^2(𝑥∣𝑎)	2𝑎(𝑎−1)𝑒^𝜓	EE1B
𝑛𝑐^2(𝑦∣𝑎)−𝑐𝑛^2(𝑥∣𝑎)	2(1−𝑎)𝑒^𝜓	EE2A
𝑛𝑐^2(𝑦∣𝑎)−𝑎𝑠𝑑^2(𝑥∣𝑎)	2(1−𝑎)𝑒^𝜓	EE2B