Asymptotic forms of the Ursell edge waves on a gently sloping beach

P. Zhevandrov; A. Merzon; M. I. Romero Rodríguez

Asymptotic forms of the Ursell edge waves on a gently sloping beach

Mathematical Physics 2026-07-14 v1

Authors: P. Zhevandrov , A. Merzon , M. I. Romero Rodríguez

Abstract

It is shown that the asymptotics of the Ursell trapping modes on a sloping beach of small slope angle alpha coincide with the inverse Fourier transform of standard WKB exponentials, i.e., the Maslov canonical operator, as alpha tends to 0.

Keywords

Ursell edge waves sloping beach Maslov canonical operator WKB exponentials trapping modes asymptotics

Cite

@article{arxiv.2607.12289,
  title  = {Asymptotic forms of the Ursell edge waves on a gently sloping beach},
  author = {P. Zhevandrov and A. Merzon and M. I. Romero Rodríguez},
  journal= {arXiv preprint arXiv:2607.12289},
  year   = {2026}
}

Comments

23 pages, 8 figures