Thisletterobtainsatyphoon-likevortexsolutionbysolvingtheBragg-Hawthorneequation.ThesolutiondescribesspiralpathsoffluidmaterialelementontheBernoullisurface,whereassomenewexactsolutionsareobtainedwhichareboundedinthewholeregion.Thefirstoneisacontinuedumbrellavortexsolution,whichisatyphoon-likevortex.Thesecondoneisamulti-planarsolution,whichisperiodicinz-coordinate.Withineachlayer,thereisanumbrellavortexsolutionsimilartothefirstone.Theabove...