On the existence of traveling wave solutions for cold plasmas
The present paper is concerned with the existence of traveling wave solutions of the asymptotic model, derived by the authors in a previous work, to approximate the unidirectional evolution of a collision-free plasma in a magnetic field. First, using bifurcation theory, we can rigorously prove the e...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/38144 |
| Acceso en línea: | https://hdl.handle.net/10902/38144 |
| Access Level: | acceso abierto |
| Palabra clave: | Bifurcation theory Traveling waves Homoclinic orbits Numerical generation |
| Sumario: | The present paper is concerned with the existence of traveling wave solutions of the asymptotic model, derived by the authors in a previous work, to approximate the unidirectional evolution of a collision-free plasma in a magnetic field. First, using bifurcation theory, we can rigorously prove the existence of periodic traveling waves of small amplitude. Furthermore, our analysis also evidences the existence of different type of traveling waves. To this end, we present a second approach based on the analysis of the differential system satisfied by the traveling wave profiles, the existence of equilibria, and the identification of associated homoclinic and periodic orbits around them. The study makes use of linearization techniques, normal forms, and numerical computations to show the existence of different types of traveling wave solutions, with monotone and non-monotone behavior and different regularity, as well as periodic traveling waves. |
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