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Symmetries and Group-Invariant Solutions for Transonic Pressure-Gradient Equations |
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| Authors: | WANG Li-Zhen and HUANG Qing |
| Affiliation: | 1.Center for Nonlinear Studies, Northwest University, Xi'an 710069, China;2.Department of Mathematics, Northwest University, Xi'an 710069, China;3.Center for the History of Mathematics and Science, Northwest University, Xi'an 710069, China |
| Abstract: | Lie symmetry group method is applied to study the transonic pressure-gradient equations in two-dimensional space. Its symmetry groups and corresponding optimal systems are determined, and several classes of irrotational group-invariant solutions associated to the symmetries are obtained and special case of one-dimensional rarefaction wave is found. |
| Keywords: | transonic pressure-gradient equations Lie symmetry optimal system group-invariant solution |
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