4.7 Article

1-soliton solution of the Zakharov-Kuznetsov equation with dual-power law nonlinearity

Journal

Publisher

ELSEVIER
DOI: 10.1016/j.cnsns.2008.10.004

Keywords

Solitons; Integrals of motion; Integrability

Funding

  1. NSF-CREST [HRD-0630388]
  2. Army Research Office (ARO)
  3. Air Force Office of Scientific Research (AFOSR) [W54428-RT-ISP]
  4. Army Research Office (ARO) [W911NF-05-1-0451]

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In this paper, the Zakharov-Kuznetsov equation, with dual-power law nonlinearity is solved by using the solitary wave ansatze and 1-soliton solution is obtained. Using this soliton solution, a couple of conserved quantities, of this equation, are calculated. (C) 2008 Elsevier B.V. All rights reserved.

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