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Phys. Rev. E 56, 4813 - 4821 (1997)

Deformed Whitham equations for some near-integrable systems

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Alexander A. Zabolotskii
Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, 630090 Novosibirsk, Russia

Received 13 March 1997

A perturbation approach for some near-integrable systems with periodic boundary conditions is developed. Deformed Whitham equations including perturbaton terms of a special type are derived in a common form for Ablowitz-Kaup-Newell-Segur models. This approach is used for analysis of the generation of a dense packet of solitons in a model of a two-level laser with pumping of the upper level and relaxation.


©1997 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.56.4813
DOI: 10.1103/PhysRevE.56.4813
PACS: 42.65.Tg, 42.65.Hw, 42.65.Dr, 42.65.Re

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