Solitary wave solutions of the delayed KP–BBM equation
Abstract
Abstract In this paper, a type of shallow water wave model referred to as the Kadomtsev–Petviashvili–Benjamin–Bona–Mahony (KP–BBM) equation is studied. Initially, the unperturbed form of the KP–BBM equation is examined. By employing geometric singular perturbation (GSP) theory, particularly the invariant manifold theory, methods from dynamical systems, and Melnikov analysis, the persistence of solitary wave solutions is established for the delayed KP–BBM equation. Furthermore, the equation is analyzed under various types of nonlinear terms. Finally, the analytical results are validated through numerical simulations.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Nonlinear Photonic Systems
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Advances in Nonlinear Analysis
- Publisher
- Walter de Gruyter GmbH
- Volume
- 15
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN