Singularity analysis of spherical Kadomtsev-Petviashvili equation

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Karasu-Kalkanli A., Sakovich S.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, cilt.74, sa.2, ss.505-507, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1143/jpsj.74.505
  • Dergi Adı: JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.505-507
  • Anahtar Kelimeler: spherical Kadomtsev-Petviashvili equation, integrability, Painleve analysis, truncated singular expansion, PARTIAL-DIFFERENTIAL EQUATIONS, PAINLEVE PROPERTY
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The (2 + 1)-dimensional spherical Kadomtsev-Petviashvili (SKP) equation of J.-K. Xue [Phys. Lett. A 314 (2003) 479] fails the Painleve test for integrability at the highest resonance, where a nontrivial compatibility condition for recursion relations appears. This compatibility condition, however, is sufficiently weak and thus allows the SKP equation to possess an integrable (1 + 1)-dimensional reduction, which is found by the method of truncated singular expansion.