Journal
FILOMAT
Volume 26, Issue 5, Pages 957-964Publisher
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL1205957K
Keywords
Coupled integrable dispersionless system; Lie symmetries; simplest equation method; conservation laws
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In this paper we study the coupled integrable dispersionless system (CIDS), which arises in the analysis of several problems in applied mathematics and physics. Lie symmetry analysis is performed on CIDS and symmetry reductions and exact solutions with the aid of simplest equation method are obtained. In addition, the conservation laws of the CIDS are also derived using the multiplier (and homotopy) approach.
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