RT info:eu-repo/semantics/article
T1 On solitary-wave solutions of Rosenau-type equations
A1 Durán Martín, Ángel
A1 Muslu, Gulcin M.
K1 Rosenau-type equations
K1 Solitary waves
K1 Normal form theory
K1 Concentration-Compactness theory
K1 Petviashvili’ iterative method
K1 12 Matemáticas
AB 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.
PB Elsevier
SN 1007-5704
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/73124
UL https://uvadoc.uva.es/handle/10324/73124
LA eng
NO Communications in Nonlinear Science and Numerical Simulation, octubre 2024, vol. 137, 10813
NO Producción Científica
DS UVaDOC
RD 15-jun-2025