Linear instability criterion for the Korteweg–de Vries equation on metric star graphs
Linear instability criterion for the Korteweg–de Vries equation on metric star graphs
The aim of this work is to establish a linear instability criterium of stationary solutions for the Korteweg-de Vries model on a star graph with a structure represented by a finite collections of semi-infinite edges. By considering a boundary condition of $\delta$-type interaction at the graph-vertex, we show that the …