FILOMAT, vol.31, no.6, pp.1483-1490, 2017 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Conservation laws, partial Lagrangian approach, mKdV-KP equation, multiplier method, PARTIAL-DIFFERENTIAL-EQUATIONS, SYSTEM, SYMMETRIES
Bursa Uludag University Affiliated:
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.