Traveling Wave Solutions of Konopelchenko–Dubrovsky Equation with KS Perturbation
Abstract
This paper proves the existence of traveling wave solutions in Konopelchenko–Dubrovsky equation with Kuramoto–Sivashinsky perturbation. By a special transformation, we simplify the analysis of the traveling wave system. Geometric singular perturbation theory is applied to reduce the corresponding traveling wave equation to a regularly perturbed system on a locally invariant manifold. We provide conditions on the existence of periodic and solitary wave solutions. Poincaré and homoclinic bifurcation theories, together with Melnikov’s method, are employed to validate our results.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Advanced Differential Equations and Dynamical Systems
Fractional Differential Equations Solutions
Publication details
- Journal / source
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 36
- Issue
- 10
- Publication date
- 16 April 2026
- Language
- EN