Wazwaz, A.M. - In: Mathematics and Computers in Simulation (MATCOM) 56 (2001) 3, pp. 269-276
With the use of Adomian decomposition method, the prototypical, genuinely nonlinear K(m,n) equation, ut+(um)x+(un)xxx=0, which exhibits compactons—solitons with finite wavelength—is solved exactly. Two numerical illustrations, K(2,2) and K(3,3), are investigated to illustrate the pertinent...