\BOOKMARK [1][]{section.1}{Introduction}{}
\BOOKMARK [1][]{section.2}{The Problem}{}
\BOOKMARK [2][]{subsection.2.1}{Problem settings}{section.2}
\BOOKMARK [1][]{section.3}{Numerical Scheme}{}
\BOOKMARK [2][]{subsection.3.1}{Spatial discretization}{section.3}
\BOOKMARK [2][]{subsection.3.2}{Time marching scheme}{section.3}
\BOOKMARK [1][]{section.4}{Code}{}
\BOOKMARK [2][]{subsection.4.1}{Declaration of the problems}{section.4}
\BOOKMARK [2][]{subsection.4.2}{Solve of the problems}{section.4}
\BOOKMARK [2][]{subsection.4.3}{Numerical simulations}{section.4}
\BOOKMARK [3][]{subsubsection.4.3.1}{Rate of convergence}{subsection.4.3}
\BOOKMARK [3][]{subsubsection.4.3.2}{Computation time}{subsection.4.3}
\BOOKMARK [3][]{subsubsection.4.3.3}{Reflection of expanding symmetric waves at two boundaries of the BBM-BBM Boussinesq system}{subsection.4.3}
\BOOKMARK [3][]{subsubsection.4.3.4}{Expanding symmetric waves under the KdV-KdV Boussinesq system}{subsection.4.3}
\BOOKMARK [2][]{subsection.4.4}{Comparison of the results with Mitsotakis et al.}{section.4}
\BOOKMARK [2][]{subsection.4.5}{Comparison of different Boussinesq models}{section.4}
\BOOKMARK [1][]{section.5}{Conclusion}{}