Variational approach, soliton solutions and singular solitons for new coupled ZK system. (September 2015)

• Record Type: Journal Article
• Authors: Elboree, Mohammed K.
• Is Part Of: Computers & mathematics with applications. Volume 70:issue 5(2015)
• Page Start: 934
• Page End: 941
• Publication Date: 2015-09
• Subjects: Variational principle -- Coupled Zakharov–Kuznetsov system -- Soliton solutions -- Singular solitons; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2015.06.018
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, we obtain a variational principle for the new coupled Zakharov–Kuznetsov (ZK) system by the semi-inverse method. Based on this formulation, a new solitary wave solution can be easily obtained using Ritz method. We obtained the conditions which must remain valid for continuation of the new solitary solution and other solutions to exist. We also studied the collision dynamics between waves in each case. Finally, we give the numerical simulations to complete the study.