| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758343 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 8 Pages |
In the present paper, the recent method of conservation laws for constructing exact solutions for systems of nonlinear partial differential equations is applied to the gasdynamic equations describing one-dimensional and three-dimensional polytropic flows. In the one-dimensional case singular solutions are constructed in closed forms. In the three-dimensional case several conservation laws are used simultaneously. It is shown that the method of conservation laws leads to particular solutions different from group invariant solutions.
► Method of conservation laws is applied to gasdynamic equations. ► Exact solutions are constructed in implicit form using mass conservation. ► Singular solutions are presented in closed forms. ► Constructed solutions are different from group invariant solutions. ► More exact solutions can be found using other conservation laws.
