Shallow-water soliton dynamics beyond the Korteweg–de Vries equation
Shallow-water soliton dynamics beyond the Korteweg–de Vries equation
An alternative way for the derivation of the new KdV-type equation is presented. The equation contains terms depending on the bottom topography (there are six new terms in all, three of which are caused by the unevenness of the bottom). It is obtained in the second order perturbative approach in …