• About
  • Policies
  • What is open access
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Science
      • Department of Mathematics
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Science
      • Department of Mathematics
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Uniqueness of the Kadomtsev-Petviashvili and Boussinesq Equations

      Thumbnail
      View / Download
      122.2 Kb
      Author(s)
      Ma W.-X.
      Pekcan, A.
      Date
      2011
      Source Title
      Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
      Print ISSN
      0932-0784
      Volume
      66
      Issue
      6-7
      Pages
      377 - 382
      Language
      English
      Type
      Article
      Item Usage Stats
      112
      views
      90
      downloads
      Abstract
      The Kadomtsev-Petviashvili and Boussinesq equations (u xxx - 6uu x)x - ut x ± uyy = 0, (u xxx - 6uu x)x + u xx ± u tt = 0, are completely integrable, and in particular, they possess the three-soliton solution. This article aims to expose a uniqueness property of the Kadomtsev-Petviashvili (KP) and Boussinesq equations in the integrability theory. It is shown that the Kadomtsev-Petviashvili and Boussinesq equations and their dimensional reductions are the only integrable equations among a class of generalized Kadomtsev-Petviashvili and Boussinesq equations (u x1x1x1 - 6uu x1) x1 + σ M i, j=1 a iju xixj = 0, where the a i j's are arbitrary constants and M is an arbitrary natural number, if the existence of the three-soliton solution is required. © 2011 Verlag der Zeitschrift für Naturforschung, Tübingen.
      Keywords
      Hirota's Bilinear form
      Integrable equations
      Three-soliton condition
      Permalink
      http://hdl.handle.net/11693/21860
      Collections
      • Department of Mathematics 653
      Show full item record

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartments

      My Account

      LoginRegister

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the site administrator. Phone: (312) 290 1771
      © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy