کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
766743 | 897118 | 2014 | 6 صفحه PDF | دانلود رایگان |
• The Zakharov-Kuznetsov equation is strictly and nonlinearly self-adjoint.
• We found Lie point symmetries of this equation.
• Conservation laws using the found Lie point symmetries are constructed.
A new general theorem, which does not require the existence of Lagrangians, allows to compute conservation laws for an arbitrary differential equation. This theorem is based on the concept of self-adjoint equations for nonlinear equations. In this paper we show that the Zakharov–Kuznetsov equation is self-adjoint and nonlinearly self-adjoint. This property is used to compute conservation laws corresponding to the symmetries of the equation. In particular the property of the Zakharov–Kuznetsov equation to be self-adjoint and nonlinearly self-adjoint allows us to get more conservation laws.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 19, Issue 2, February 2014, Pages 377–382