Solitary Waves of the Perturbed KdV Equation with Nonlocal Effects
Solitary Waves of the Perturbed KdV Equation with Nonlocal Effects
Abstract In this paper, the Korteweg–de Vries (KdV) equation is considered, which is a shallow water wave model in fluid mechanic fields. First the existence of solitary wave solutions for the original KdV equation and geometric singular perturbation theory are recalled. Then the existence of solitary wave solutions is established …