Article ID Journal Published Year Pages File Type
8256682 Reports on Mathematical Physics 2018 15 Pages PDF
Abstract
We find the Lie algebra of point symmetries for the singular manifold equation associated with the Khokhlov-Zabolotskaya equation (KhZ), classify one-dimensional subalgebras of this algebra, and find corresponding invariant solutions. Then we use the Bäcklund transformation between the singular manifold equation and KhZ to find new exact solutions to the last equation.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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