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.
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This research was supported by the Russian Foundation for Basic Research (Grant No. 20-01-00063).
Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 202, No. 3, pp. 415–424, March, 2020.
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Kamchatnov, A.M. Motion of dispersive shock edges in nonlinear pulse evolution. Theor Math Phys 202, 363–370 (2020). https://doi.org/10.1134/S0040577920030083
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DOI: https://doi.org/10.1134/S0040577920030083