Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 74, Issue 6, Pages 1158-1165Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2017.06.007
Keywords
(2+1)-dimensional; Bogoyavlensky Konopelchenko equation; Lie symmetries analysis method; Infinitesimal generator; Conservation law; Symmetry; Nonlinear self-adjointness
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In this paper, using the Lie group analysis method, the infinitesimal generators for (2+1)- dimensional Bogoyavlensky-Konopelchenko equation are obtained. The new concept of nonlinear self-adjointness of differential equations is used for construction of nonlocal conservation laws. The conservation laws for the (2+1) -dimensional Bogoyavlensky-Konopelchenko equation are obtained by using the new conservation theorem method and the formal Lagrangian approach. Transforming this equation into a system of equations involving with two dependent variables, it has been shown that the resultant system of equations is quasi self-adjoint and finally the new nonlocal conservation laws are constructed by using the Lie symmetry operators. (C) 2017 Elsevier Ltd. All rights reserved.
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