Undular bores in the (3+1) dimensional mKP equation

Özdemir N., Demirci A., Ahmetolan S.

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.483, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 483
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.physleta.2023.129051
  • Dergi Adı: Physics Letters, Section A: General, Atomic and Solid State Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, Compendex, INSPEC, Metadex, Philosopher's Index, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Spherical reductions, Undular bore solution, Whitham modulation theory
  • Marmara Üniversitesi Adresli: Hayır

Özet

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).