On the Conservation Laws of Modified KdV-KP Equation

YAŞAR E., SAN S.

FILOMAT, vol.31, no.6, pp.1483-1490, 2017 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 6
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1706483y
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1483-1490
  • Keywords: Conservation laws, partial Lagrangian approach, mKdV-KP equation, multiplier method, PARTIAL-DIFFERENTIAL-EQUATIONS, SYSTEM, SYMMETRIES
  • Bursa Uludag University Affiliated: Yes

Abstract

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.