88
9 Natural Measuring-Rods and Clocks
Fig. 9.4 Periodical oscillations of the breather solution (100a) for a fixed x-value, here x = 0, thus
with cosh 0 = 1, q III
o (0, t) =
2a
π arctan
sin
cot
λo
√
2
. An instrument that can count these oscillations
is a clock. For t = T o , one receives the second passing through the zero position, thus because of
the period 2π of the sin-function,
co To
λo
√
2
= 2π. Thus, we receive in accordance with (96) for the
period of oscillation T o =
√
2 2π λ o /c o ≈ 8, 89 λ o /c o
9 Natural Measuring-Rods and Clocks
Fig. 9.4 Periodical oscillations of the breather solution (100a) for a fixed x-value, here x = 0, thus
with cosh 0 = 1, q III
o (0, t) =
2a
π arctan
sin
cot
λo
√
2
. An instrument that can count these oscillations
is a clock. For t = T o , one receives the second passing through the zero position, thus because of
the period 2π of the sin-function,
co To
λo
√
2
= 2π. Thus, we receive in accordance with (96) for the
period of oscillation T o =
√
2 2π λ o /c o ≈ 8, 89 λ o /c o