1 Ocak 2023 Dergi makalesi Açık Erişim

Ozdemir, Nese; Demirci, Ali; Ahmetolan, Semra

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{
  "@context": "https://schema.org/", 
  "@id": 265836, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Istanbul Tech Univ, Fac Sci & Letters, Dept Math Engn, TR-34469 Istanbul, Turkiye", 
      "name": "Ozdemir, Nese"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Istanbul Tech Univ, Fac Sci & Letters, Dept Math Engn, TR-34469 Istanbul, Turkiye", 
      "name": "Demirci, Ali"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Istanbul Tech Univ, Fac Sci & Letters, Dept Math Engn, TR-34469 Istanbul, Turkiye", 
      "name": "Ahmetolan, Semra"
    }
  ], 
  "datePublished": "2023-01-01", 
  "description": "<p>Undular bore (dispersive shock wave) solutions in the (3+1) dimensional modified Kadomtsev-Petviashvili (mKP) equation for step type initial condition along a paraboloid type wavefront are found. Then, using a suitable solution form for the (3+1) dimensional mKP equation, it is reduced to the (1+1) dimensional focusing spherical mKdV (smKdV) and defocusing spherical mKdV (smKdV(d)) equations. Next, the Whitham modulation equations of the smKdV and smKdV(d) equations are found in terms of Riemann variables. Numerical solutions of the derived modulation equations are obtained. Also, an error analysis is performed for direct numerical solutions of both smKdV and smKdV(d).&amp; COPY; 2023 Elsevier B.V. All rights reserved.</p>", 
  "headline": "Undular bores in the (3+1) dimensional mKP equation", 
  "identifier": 265836, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Undular bores in the (3+1) dimensional mKP equation", 
  "url": "https://aperta.ulakbim.gov.tr/record/265836"
}