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- W1570821899 abstract "In this manuscript, the existence of traveling-wave solutions to Boussinesq systems begin{equation*} left{ begin{matrix} eta_t +u_x+(eta u)_x +au_{xxx}-b eta_{xxt}=0, & u_t + eta_x +uu_x +ceta_{xxx} - d u_{xxt}=0,& end{matrix} right. end{equation*} is established. We prove that all the systems with $ a<0,$ $ c<0$ and $ b=d$ exhibit traveling-wave solutions with small propagation speeds. The result complements our earlier work [6] on a restricted family of the systems where both existence and stability of traveling-wave solutions were established in the presence of large surface tension, namely when $a+b+c+d<0$." @default.
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- W1570821899 date "2011-09-01" @default.
- W1570821899 modified "2023-10-15" @default.
- W1570821899 title "Existence of traveling-wave solutions to Boussinesq systems" @default.
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- W1570821899 doi "https://doi.org/10.57262/die/1356012891" @default.
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