Solitary wave solution and conservation laws of higher dimensional Zakharov‐Kuznetsov equation with nonlinear self‐adjointness. (31st July 2018)

• Record Type: Journal Article
• Authors: Ali, Muhammad Nasir; Husnine, Syed Muhammad; Ak, Turgut; Atangana, Abdon
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 16(2018)
• Page Start: 6611
• Page End: 6624
• Publication Date: 2018-07-31
• Subjects: conservation laws -- self‐adjointness -- solitary wave -- symmetry -- Zakharov‐Kuznetsov equation; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5180
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we consider (1 + n)‐dimensional Zakharov‐Kuznetsov (ZK) equation for nonlinear self‐adjointness and symmetries. It is proved that the equation is nonlinearly self‐adjoint and its symmetries are computed. The conservation laws are obtained by using new general conservation theorem of Ibragimov for (1 + n)‐dimension and particularly for (1 + 3)‐dimensional ZK equation. Multiplier method is also used to find more conservation laws for (1 + 3)‐dimensional ZK equation and symmetry reduction technique is used to calculate the solitary wave solution.