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Abstract
We propose a coupled trial equation method for a coupled differential equations system. Furthermore, according to the invariant property under the translation, we give the symmetry reduction of a dual Kaup–Boussinesq system, and then we use the proposed trial equation method to construct its exact solutions which describe its dynamical behavior. In particular, we get a cosine function solution with a constant propagation velocity, which shows an important periodic behavior of the system.
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Details
1 Department of Mathematics, Harbin Institute of Technology, Harbin, China; Department of Mathematics, Northeast Petroleum University, Daqing, China
2 Department of Mathematics, Harbin Institute of Technology, Harbin, China