English

Travelling waves in a dispersion-saturating diffusion equation

Analysis of PDEs 2024-09-04 v2

Abstract

In the framework of hyperbolic conservation laws regularised by including diffusive and dispersive terms, we study monotone travelling waves for the generalised Rosenau-Korteweg de Vries equation. We establish existence as well as linear and nonlinear determinacy results in different regimes.

Keywords

Cite

@article{arxiv.2408.14631,
  title  = {Travelling waves in a dispersion-saturating diffusion equation},
  author = {Gnord Maypaokha and Nabil Bedjaoui and Joaquim M. C. Correia and Michael Grinfeld},
  journal= {arXiv preprint arXiv:2408.14631},
  year   = {2024}
}

Comments

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R2 v1 2026-06-28T18:24:33.994Z