English

Finite amplitude waves under a small resonant driving force

Pattern Formation and Solitons 2007-05-23 v1

Abstract

We construct a special asymptotic solution for the forced Boussinesq equation. The perturbation is small and oscillates with a slowly varied frequency. The slow passage through the resonance generates waves with the finite amplitude. This phenomenon is described in details.

Keywords

Cite

@article{arxiv.nlin/0512049,
  title  = {Finite amplitude waves under a small resonant driving force},
  author = {Nataliya Gorbatova and Oleg Kiselev and Sergei Glebov},
  journal= {arXiv preprint arXiv:nlin/0512049},
  year   = {2007}
}

Comments

LaTeX, 11 pages, 1 figure

R2 v1 2026-07-22T18:14:43.951Z