Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 13, Issue 4, Pages 1692-1702Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2011.12.001
Keywords
Solitons; Lie symmetries; Integrability; Conservation laws; Lie symmetry methods; Simplest equation method
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This paper obtains solutions to the Zakharov-Kuznetsov modified equal width equation with power law nonlinearity. The Lie symmetry approach and the simplest equation method are used to obtain these solutions. Moreover, conservation laws are derived for the underlying equation by employing two approaches: the new conservation theorem and the multiplier method. (C) 2011 Elsevier Ltd. All rights reserved.
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