Abstract
Abstract In the application of solitons to a long-distance communication system, various higher order terms discussed in Chapter 3 become important, and one should study the effect of these terms on soliton solutions. The higher-order terms in the envelope equation derived in Chapter 3 are of the order of smaller than 10-4. Hence the effect of the higher-order terms on the transmission appears at distances longer than 104z0. For a soliton with a subpicosecond pulse, however, the relative spectral width c: becomes larger than 10-3, and the effect of higher-order terms can become important. We then employ the perturbation methods developed in Chapter 5 to analyse the NLS equation including the higher order terms which may be expressed as (5.2.1), i.e.
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