Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system I. Compactions and peakons | Zendy

Y. A. Li | Zendy; Peter J. Olver | Zendy

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Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system I. Compactions and peakons

Author(s) -

Y. A. Li,

Peter J. Olver

Publication year - 1997

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.1997.3.419

Subject(s) - homoclinic orbit , integrable system , hamiltonian system , mathematical analysis , physics , dynamical systems theory , convergence (economics) , hamiltonian (control theory) , classical mechanics , mathematical physics , mathematics , bifurcation , nonlinear system , quantum mechanics , mathematical optimization , economics , economic growth

We investigate how the non-analytic solitary wave solutions -- peakons and compactons -- of an integrable bi-Hamiltonian system arising in fluid mechanics, can be recovered as limits of classical solitary wave solutions forming analytic homoclinic orbits for the reduced dynamical system. This phenomenon is examined to understand the important effect of linear dispersion terms on the analyticity of such homoclinic orbits.

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