(−2/a1)1/2 sech(x)exp(it); | a1 < 0, <a2 = 0 | 1 |
B, 0 < |u|2 ≤ −2/a1 |
| a1 > 0, a2 = 0, 1 ≤ b < ∞ | 2 |
D, 2(b − 1)/a1 < |u|2 < 2b/a1 |
| a1 < 0, a2 = 0, W1 ≥ 0 ≥ W2 ≥ W3, | 3 |
W1 ≠ W, |
P, pW2 < |u|2< pW3 |
Where
| a1 > 0, a2 = 0, 0 ≤ W3 < W2 < W1 | 4 |
P, pW3 < |u|2 < pW2 |
| a2 < 0, 0 ≤ W1 < W4 | 5 |
B, W1 < |u|2 < W4 |
where
| a2 < 0, 0 < W4 < W1 | 6 |
D, W4 ≤ |u|2 < W1 |
| a2 > 0, a1 < 0 | 7 |
K, 0 < |u|2 < −3a1/4a2 |
a2 > 0, W4 ≤ 0 ≤ W3 < W1, | 8 |
W4 ≠ W3 |
p > 0, ∊ = −1 |
D, pW3 ≤ |u|2 ≤ pW1 |
where
| a2 > 0, 0 = W1 < W3 < W4 | 9 |
p > 0, ∊ = −1 |
B, 0 < |u|2 ≤ pW3 |
a2 < 0, W4 < W3 ≤ 0 ≤ W1, W3 ≠ W1 | 10 |
p < 0, ∊ = 1 |
P, pW3 ≤ |u|2 ≤ pW4 |
a2< 0, 0 ≤ W3 < W1 < W4 | 11 |
p > 0, ∊ = 1 | 12 |
B, pW1 < |u|2 ≤ pW4 |
p > 0, ∊ = −1 |
D, pW1 < |u|2 ≤ pW3 |
a2 < 0, W4 < W1 = 0 < W3 | 13 |
p > 0, ∊ = −1 |
B, 0 < |u|2 ≤ pW3 |
p < 0, ∊ = 1 | 14 |
B, 0 < |u|2 ≤ pW4 |
(pW)1/2exp[i(N − at)], | a2 > 0, W4 ≤ 0 ≤ 5 Ws < W2 < W1 | 15 |
where
| W3 ≠ W4, p > 0 |
P, pW3 ≤ |u| ≤ pW2 |
(pW)1/2exp[i(N − at)], | a2 < 0, 0 ≤ W4 < W3 < W2 < W1 | 16 |
where
| P > 0 |
P, pW2 ≤ |u|2 ≤ pW1 |
A2< 0, W4 < W3 < 0 < W2 < W1 | 17 |
W3 ≠ W2, p > 0 |
P, pW2 ≤ |u|2 ≤ pW1 |
N and θ as in solution (15) with the change a2 → −a2; | | |
(pW)1/2 exp[i(N − at)], | A2 < 0, 0 < W4 < W3 < W2 < W1 | 18 |
Where | p > 0 |
P, pW1 ≤ |u| ≤ pW3 |
| a2 < 0, W4 < W3 < 0 < W2 < W1 | 19 |
W3 ≠ W2, p < 0 |
P, pW3 ≤ |u|2 ≤ pW4 |
N, θ, k2, S, and W4 as in solution (16) or (17); | | |
(pW)1/2 exp[i(N − at)], | a2 < 0, 0 ≤ W2 < W1, q > 0 | 20 |
where
| p > 0 |
P, pW2 ≤ |u|2 ≤ pW1 |