Lrt. Gardner et al., APPROXIMATIONS OF SOLITARY WAVES OF THE MRLW EQUATION BY B-SPLINE FINITE-ELEMENTS, Arabian journal for science and engineering, 22(2A), 1997, pp. 183-193
The modified regularized long wave equation is solved numerically by t
he B-spline finite element method. Three polynomial invariant conditio
ns are reported. Solitary wave development, motion, and interaction ar
e studied through computer simulation. Earlier estimates of the magnit
ude of the coefficient of inelasticity are confirmed. The development
of a Maxwellian initial condition into solitary waves is shown to mimi
c that of the RLW equation.