@article{oai:repo.qst.go.jp:00076652,
 author = {Hedvika, Kadlecová and Korn, Georg and Bulanov, Sergey and Bulanov, Sergey},
 issue = {3},
 journal = {PHYSICAL REVIEW D},
 month = {Feb},
 note = {The interaction of two counterpropagating electromagnetic waves in a vacuum is analyzed within the framework of the Heisenberg-Euler formalism in quantum electrodynamics. The nonlinear electromagnetic wave in the quantum vacuum is characterized by wave steepening, subsequent generation of high order harmonics and electromagnetic shock wave formation with electron–positron pair generation at the shock wave front.},
 title = {Electromagnetic shocks in the quantum vacuum},
 volume = {99},
 year = {2019}
}