Simple Numerical Schemes for the Korteweg-deVries Equation.

摘要

Two numerical schemes, which simulate the propagation of dispersive nonlinear waves, are described. The first is a split-step Fourier scheme for the Kortewegcie Vries (KdV) equation. The second is a finite-difference scheme for the modified KdV equation. The stability and accuracy of both schemes are discussed. These simple schemes can be used to study a wide variety of physical processes that involve dispersive nonlinear waves.