| Abstract: |
| \begin{document}
\begin{center} On the exact solutions of nonlocal Boussinesq equation
\end{center}
This study devotes to the (1+1)-dimensional integrable system known as
the nonlocal Boussinesq equation. This model emerges as a compatibility
condition for a linear system associated with the bilinear
representation of Kaup`s higher-order wave equation. The nonlocal
symmetries for the nlBq equation are obtained with the truncated
Painleve approach. Based on the truncated Painleve expansion, the
nonlocal symmetry and Backlund transformation of this equation are
extracted. The nonlocal symmetries can be localized to the Lie point
symmetries by help of new auxiliary dependent variables. The corresponding Lie
symmetry transformations related to the nonlocal symmetries are derived.
The considered model is demonstrated to be consistent Riccati solvable. Some new exact solutions including
the two-solitary-wave fusion solutions, single soliton solutions and
interaction wave solutions are also revealed.
\end{document} |
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