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Degasperis-Procesi Equation (degasperis-procesi + equation)

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Mathematics and Statistics100%

Selected Abstracts

Stability of peakons for the Degasperis-Procesi equation

COMMUNICATIONS ON PURE & APPLIED MATHEMATICS, Issue 1 2009
Zhiwu Lin
The Degasperis-Procesi equation can be derived as a member of a one-parameter family of asymptotic shallow-water approximations to the Euler equations with the same asymptotic accuracy as that of the Camassa-Holm equation. In this paper, we study the orbital stability problem of the peaked solitons to the Degasperis-Procesi equation on the line. By constructing a Lyapunov function, we prove that the shapes of these peakon solitons are stable under small perturbations. © 2007 Wiley Periodicals, Inc. [source]

Application of variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Issue 5 2010
H. Jafari
Abstract In this article, the variational iteration method (VIM) is used to obtain approximate analytical solutions of the modified Camassa-Holm and Degasperis-Procesi equations. The method is capable of reducing the size of calculation and easily overcomes the difficulty of the perturbation technique or Adomian polynomials. The results reveal that the VIM is very effective. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010 [source]