Travelling waves in a dispersion–saturating diffusion equation

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Maypaokha, Gnord and Bedjaoui, Nabil and Correia, Joaquim M. C. and Grinfeld, Michael (2025) Travelling waves in a dispersion–saturating diffusion equation. Nonlinear Analysis: Real World Applications, 86. 104403. ISSN 1468-1218 (https://doi.org/10.1016/j.nonrwa.2025.104403)

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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.

ORCID iDs

Maypaokha, Gnord, Bedjaoui, Nabil, Correia, Joaquim M. C. and Grinfeld, Michael ORCID logoORCID: https://orcid.org/0000-0002-3897-8819;
CORE (COnnecting REpositories)