Symmetrical Dynamic Analysis and Exact Solutions of a Class of Nonlinear Shallow Water Wave Equations
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Abstract
The Lie group analysis method is used to obtain Lie point symmetry reduced equations for a class of nonlinear shallow water wave equations, and the truncated power series expansion method is also used to solve the reduced equation. Some new non-traveling wave exact solutions are obtained, and the local evolution characteristics and geometric structure of a certain solution are discussed.
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