Two-component nonlinear wave of the Born-Infeld equation

2021/06/08 by G. T. Adamashvili, Adamashvili, G. T.
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.2106.05940

openalex publication_date 2021/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The generalized perturbative reduction method is used to find the two-component vector breather solution of the Born-Infeld equation U_tt -C U_zz = - A U_t² U_zz - σU_z ² U_tt + B U_z U_t U_zt . It is shown that the solution of the two-component nonlinear wave oscillates with the sum and difference of frequencies and wave numbers.

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