Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system: II. Complex analytic behavior and convergence to non-analytic solutions

Y. A. Li, Peter J Olver

Research output: Contribution to journalArticlepeer-review

56 Scopus citations

Abstract

In this part, we prove that the solitary wave solutions investigated in part I are extended as analytic functions in the complex plane, except for at most countably many branch points and branch lines. We describe in detail how the limiting behavior of the complex singularities allows the creation of non-analytic solutions with corners and/or compact support.

Original languageEnglish (US)
Pages (from-to)159-191
Number of pages33
JournalDiscrete and Continuous Dynamical Systems
Volume4
Issue number1
StatePublished - Dec 1 1998

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