【学术报告】Dispersive shock waves: theory and observations

• 主讲人：Anatoly M. Kamchatnov (Institute of Spectroscopy, Russian Academy of Sciences)
• 时间：December 16, 2021 (17:00 Beijing time, 16:00 Novosibirsk time)
• 地点：online

Abstract: In this talk, I give a brief introduction to physics of dispersive shock waves (DSWs) and to basic principles of Gurevich-Pitaevskii theory of such waves [1]. I show that many important characteristics of DSW, such as speeds of its edges and the amplitude of the leading soliton, can be calculated by an elementary method based on the asymptotic theory of propagation of high-frequency wave packets along a smooth background evolved from an intensive nonlinear pulse [2]. In particular, this method allows one to find the number of solitons produced from an initial pulse for a wide class of evolution equations and initial conditions [3,4].

References

[1]A. M. Kamchatnov, Gurevich–Pitaevskii problem and its development, Physics–Uspekhi 64 (1) 48–82 (2021).

[2]A. M. Kamchatnov, Dispersive shock wave theory for nonintegrable equations, Phys. Rev. E 99, 012203 (2019).

[3]A. M. Kamchatnov, Theory of quasi-simple dispersive shock waves and number of solitons evolved from a nonlinear pulse, Chaos 30, 123148 (2020).

[4]L. F. Calazans de Brito, A. M. Kamchatnov, Number of solitons produced from a large initial pulse in the generalized NLS dispersive hydrodynamics theory, Phys. Rev. E 104, 054203 (2021).