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Título
On solitary-wave solutions of Rosenau-type equations
Año del Documento
2024
Editorial
Elsevier
Descripción
Producción Científica
Documento Fuente
Communications in Nonlinear Science and Numerical Simulation, octubre 2024, vol. 137, 10813
Résumé
The present paper is concerned with the existence of solitary wave solutions of Rosenau-type equations. By using two standard theories, Normal Form Theory and Concentration-Compactness Theory, some results of existence of solitary waves of three different forms are derived. The results depend on some conditions on the speed of the waves with respect to the parameters of the equations. They are discussed for several families of Rosenau equations present in the literature. The analysis is illustrated with a numerical study of generation of approximate solitary-wave profiles from a numerical procedure based on the Petviashvili iteration.
Materias Unesco
12 Matemáticas
Palabras Clave
Rosenau-type equations
Solitary waves
Normal form theory
Concentration-Compactness theory
Petviashvili’ iterative method
ISSN
1007-5704
Revisión por pares
SI
Version del Editor
Propietario de los Derechos
© 2024 The Authors
Idioma
eng
Tipo de versión
info:eu-repo/semantics/publishedVersion
Derechos
openAccess
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