A Nonhomogeneous Boundary-Value Problem For The Nonlinear KdV Equation on Star Graphs

Roberto de A. Capistrano Filho, Hugo Parada, Jandeilson Santos da Silva

This paper investigates an initial-boundary value problem for the Korteweg--de Vries (KdV) equation on a finite equilateral star graph. We use the notion of $s$-compatibility, whic…