Convergence of Solitary - Wave Solutions in Aperturbed Bi - Hamiltonian Dynamical
نویسندگان
چکیده
We investigate how the non-analytic solitary wave solutions | peakons and compactons | of an integrable biHamiltonian system arising in uid 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 eeect of linear dispersion terms on the analyticity of such homoclinic orbits.
منابع مشابه
Convergence of Solitary - Wave Solutions in Aperturbed Bi - Hamiltonian Dynamical System
In this part, we prove that the solitary wave solutions investigated in part I are extended as analytic functions in the complex plane, except at most countably many branch points and branch lines. We describe in detail how the limiting behavior of the complex sin-gularities allows the creation of non-analytic solutions with corners and/or compact support. This is the second in a series of two ...
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