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This article is cited in 3 scientific papers (total in 3 papers)
Motion of dispersive shock edges in nonlinear pulse evolution
A. M. Kamchatnov Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow, Russia
Abstract:
We formulate a method for calculating the velocities of the edges of dispersive shock waves that are generated after wave breaking of pulses during their propagation in a nonlinear medium. The method is based on the properties of the Whitham modulation system at its degenerate limits obtained for either a vanishing amplitude of oscillations at one edge or a vanishing wave number at the other edge.
Keywords:
nonlinear wave, soliton, dispersive shock wave, Whitham theory.
Received: 28.08.2019 Revised: 28.08.2019
Citation:
A. M. Kamchatnov, “Motion of dispersive shock edges in nonlinear pulse evolution”, TMF, 202:3 (2020), 415–424; Theoret. and Math. Phys., 202:3 (2020), 363–370
Linking options:
https://www.mathnet.ru/eng/tmf9800https://doi.org/10.4213/tmf9800 https://www.mathnet.ru/eng/tmf/v202/i3/p415
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Abstract page: | 258 | Full-text PDF : | 50 | References: | 30 | First page: | 11 |
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