On the Conservation Laws of Modified KdV-KP Equation

YAŞAR E., SAN S.

FILOMAT, cilt.31, sa.6, ss.1483-1490, 2017 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1706483y
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1483-1490
  • Anahtar Kelimeler: Conservation laws, partial Lagrangian approach, mKdV-KP equation, multiplier method, PARTIAL-DIFFERENTIAL-EQUATIONS, SYSTEM, SYMMETRIES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper we study the conservation laws of modified Korteweg-de Vries-Kadomtsev Petviashvili equation (mKdV-KP). As the considered equation is of evolution type, no recourse to a Lagrangian formulation is made. However, we show that using the partial Lagrangian approach and the multiplier method one can obtain a number of local and nonlocal conservation laws for underlying equation.