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Exact dynamical behavior for a dual Kaup–Boussinesq system by symmetry reduction and coupled trial equations method
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Exact dynamical behavior for a dual Kaup–Boussinesq system by symmetry reduction and coupled trial equations method
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Journal Article
Exact dynamical behavior for a dual Kaup–Boussinesq system by symmetry reduction and coupled trial equations method
2019
Overview
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.
Publisher
Springer Nature B.V
