Conservation laws, soliton solutions and periodic solutions for generalized coupled Zakharov–Kuznetsov equations

Mohammed K. Elboree

Chaos, Solitons & Fractals, 2017, vol. 104, issue C, 607-612

Abstract: The objectives of this paper are construct the conservation laws and the corresponding conserved quantities for the generalized coupled Zakharov–Kuznetsov (gcZK) equations for each multipliers using multiplier approach. Also we obtained the soliton solutions, kink-type and periodic solutions for these equations via simplest equation method. We analysis these solutions physically and numerically by some figures to complemented these studies. Finally, we will prove that these solutions can’t appear anywhere.

Keywords: Multiplier; Generalized coupled Zakharov–Kuznetsov equation; Simplest equation method; Periodic solutions; Soliton solutions (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:104:y:2017:i:c:p:607-612

DOI: 10.1016/j.chaos.2017.09.024

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