Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 27, Issue 1-3, Pages 271-280Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2015.03.014
Keywords
Three-dimensional; Kudryashov-Sinelshchikov equation; Lie symmetry analysis; Vector field; Riccati equation method; Exact explicit solutions
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Funding
- National Natural Science Foundation of China [11461022, 11361023]
- Major Natural Science Foundation of Yunnan Province, China [2014FA037]
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In this paper, the three-dimensional Kudryashov-Sinelshchikov (KS) equation, which describes the propagation of nonlinear waves in a bubbly liquid. By using the Lie symmetry analysis, all of the geometric vector fields of the equation are obtained, the symmetry reductions and some new exact explicit solutions are also presented. (C) 2015 Elsevier B.V. All rights reserved.
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