English

Two-component nonlinear wave of the Born-Infeld equation

Pattern Formation and Solitons 2021-06-11 v1 Exactly Solvable and Integrable Systems

Abstract

The generalized perturbative reduction method is used to find the two-component vector breather solution of the Born-Infeld equation UttCUzz=AUt2UzzσUz2Utt+BUzUtUzt U_{tt} -C U_{zz} = - A U_{t}^{2} U_{zz} - \sigma U_{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.

Keywords

Cite

@article{arxiv.2106.05940,
  title  = {Two-component nonlinear wave of the Born-Infeld equation},
  author = {G. T. Adamashvili},
  journal= {arXiv preprint arXiv:2106.05940},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2105.06735

R2 v1 2026-06-24T03:04:15.608Z