A stable finite-difference scheme for the Boussinesq equation

Summary  An explicit discretization scheme for the Boussinesq equation is developed and its (pseudo-) convergence and stability are investigated. This scheme is used to study the soliton properties in the model described by the Boussinesq equation. The emergence of soliton excitations out of prescribed multisoliton and nonsoliton initial conditions is also shown numerically. This work was supported in part by the NSF through the Grant Nr. HRD-9450342. One of us (CAC) wishes to thank the MURST for the grant awarded for the cohoperation between the Politecnico di Torino and the University of Puerto Rico.