In this paper we present a generalization of the concept of dissipativity to include systems which exhibit finite power gain. Included in this is a generalization of supply rate, available storage, and the integral and differential forms of the appropriate dissipation inequality. We show that under
Soliton propagation in nonlinear gain systems
✍ Scribed by H. Ghafouri-Shiraz; A. H. Yu
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 149 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
We ha¨e in¨estigated the stabilizing effect of nonlinear gains on soliton transmission, making use of a modified nonlinear Schrodinger equation representing a system with nonlinear gain, and sol¨ing the equation numerically using the Fourier series analysis technique. We ha¨e found that in the presence of second-and fourth-order nonlinearities, a relati¨ely high stability can be achie¨ed in soliton transmission.
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