Some Nonlinear Vortex Solutions

Table 3

Limits of 𝑒^𝜓 from Table 2; ^†means 𝑥 and 𝑦 are interchanged.

	𝑎=0	𝑎=1	𝑎=0	𝑎=1
			𝑦+𝐾𝑎	𝑦+𝐾𝑎
HE1	sech^2𝑥	HH1	sech^2𝑥	sech^22𝑥−3
HE2	HC2^†	23−sech^2𝑥	HC2^†	HH2^†
HE3	−csch^2𝑥	HH2	csch^2𝑥	23+csch^2𝑥
HE4	HC3^†	csch^22𝑥+3	HC3^†	HH3
CE1	23−sec^2𝑥	HC2	sec^22𝑥−3	sec^2𝑥
CE2	CC1	sec^2𝑥	CC1	HC3