Research Article

Solitary Wave Formation from a Generalized Rosenau Equation

Table 1

Some typical equations included in (3) and (4).

Name Equation

Linear wave equation

Inviscid Burgers equation

Inviscid generalized Burgers equation

Diffusion equation

Equal-width (EW) equation

Viscous EW equation

RLW equation

Viscous RLW equation

Generalized RLW (GRLW) equation ,

Viscous GRLW equation ,

Rosenau's original equation

Rosenau-Hyman's equation

Camassa-Holm equation

Cooper-Shepherd-Sodano equation

Olver-Rosenau equation

Korteweg-de Vries equation

Kawahara (K) equation

Modified Kawahara equation

Generalized Kawahara equation ,