caa a22 4500 605515158 CHVBK 20210128100707.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00205-014-0814-1 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0814-1 Existence and Symmetry of Ground States to the Boussinesq abcd Systems [Elektronische Daten] [Ellen Bao, Robin Chen, Qing Liu] We consider a four-parameter family of Boussinesq systems derived by Bona etal. (J Nonlinear Sci 12:283-318, 2002). We establish the existence of the ground states which are solitary waves minimizing the action functional of the systems. We further show that in the presence of large surface tension the ground states are even up to translation. Springer-Verlag Berlin Heidelberg, 2014 Bao Ellen Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA aut Chen Robin Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA aut Liu Qing Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/2(2015-05-01), 569-591 0003-9527 216:2<569 2015 216 205 https://doi.org/10.1007/s00205-014-0814-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0814-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bao Ellen Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA aut NATIONALLICENCE 700 1- Chen Robin Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA aut NATIONALLICENCE 700 1- Liu Qing Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/2(2015-05-01), 569-591 0003-9527 216:2<569 2015 216 205