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math-ph2018
Convergence of the dispersion Camassa-Holm N-Soliton
Fengfeng Dong, Lingjun Zhou
In this paper, we show that the peakon (peaked soliton) solutions can be recovered from the smooth soliton solutions, in the sense that there exists a sequence of smooth N-soliton…
math-ph2013
Peakon-antipeakon interactions in the Degasperis-Procesi Equation
Jacek Szmigielski, Lingjun Zhou
Peakons are singular, soliton-like solutions to nonlinear wave equations whose dynamics can be studied using ordinary differential equations (ODEs). The Degasperis-Procesi equation…
math-ph2007★ 10 cited
Darboux Transformation for the Non-isospectral AKNS Hierarchy and Its Asymptotic Property
Lingjun Zhou
In this article, the Darboux transformation for the non-isospectral AKNS hierarchy is constructed. We show that the Darboux transformation for the non-isospectral AKNS hierarchy is…