Approximations of solitary waves of the MRLW equation by B-spline finite elements. (English) Zbl 0893.35113
Summary: The modified regularized long wave equation is solved numerically by the \(B\)-spline finite element method. Three polynomial invariant conditions are reported. Solitary wave development, motion, and interaction are studied through computer simulation. Earlier estimates of the magnitude of the coefficient of inelasticity are confirmed. The development of a Maxwellian initial condition into solitary waves is shown to mimic that of the RLW equation.
MSC:
35Q53 | KdV equations (Korteweg-de Vries equations) |
65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
76B25 | Solitary waves for incompressible inviscid fluids |
65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |