The novikov-veselov equation: Theory and computation

R. Croke, J. L. Mueller, M. Music, P. Perry, S. Siltanen, A. Stahel

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

5 Scopus citations


We review recent progress in theory and computation for the Novikov-Veselov (NV) equation with potentials decaying at infinity, focusing mainly on the zero-energy case. The inverse scattering method for the zeroenergy NV equation is presented in the context of Manakov triples, treating initial data of conductivity type rigorously. Special closed-form solutions are presented, including multisolitons, ring solitons, and breathers. The computational inverse scattering method is used to study zero-energy exceptional points and the relationship between supercritical, critical, and subcritical potentials.

Original languageEnglish
Title of host publicationContemporary Mathematics
Number of pages46
StatePublished - 2015

Publication series

NameContemporary Mathematics
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Bibliographical note

Publisher Copyright:
© 2015 American Mathematical Society.

ASJC Scopus subject areas

  • Mathematics (all)


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