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Numerical study on generalized KdV equations and Itô-type coupled KdV equations. (English) Zbl 1199.65275

Summary: An implicit compact difference Padé scheme is used to solve fully nonlinear Korteweg-de Vries (KdV) equations and Itô-type coupled KdV equations. Particularly, this method is applied to study the behavior of compacton solutions and solutions of Itô-type coupled KdV equations. Numerical results show the effectiveness of this scheme.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L45 Initial value problems for first-order hyperbolic systems
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