Phys. Rev. E 56, 4813–4821 (1997)Deformed Whitham equations for some near-integrable systemsReceived 13 March 1997; published in the issue dated October 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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