A study of nonlinear dispersive equations with solitary-wave solutions having compact support

A.M. Wazwaz

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 56, issue 3, 269-276

Abstract: 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 features of the proposed scheme. The technique is presented in a general way so that it can be used in nonlinear dispersive equations.

Keywords: Numerical simulations; Adomian decomposition method; Compactons; Solitons (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (11)

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