ABSTRACT

K =

dt√ (1 – t2)(1 – k2t2)

, K∗ = ∫ 1

dt√ (1 – t2)(1 – k2∗t2)

, k2 + k2∗ = 1.

2.4. Unlimited periodic solutions:

w(z) = 16λ {

1 + 3 tan2 [ 1

√ λ (z + B)]} if λ > 0,

w(z) = – λ 2 cos2

–λ (z + B)] if λ < 0, where B and λ are arbitrary constants.