Bona, J. L.; Chen, M.; Saut, J.-C. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. (English) Zbl 1059.35103 Nonlinearity 17, No. 3, 925-952 (2004). Cited in 6 ReviewsCited in 101 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 35B35 Stability in context of PDEs 76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs Keywords:first-order correct models; linearly well posed; locally nonlinearly well posed; higher-order correct models PDF BibTeX XML Cite \textit{J. L. Bona} et al., Nonlinearity 17, No. 3, 925--952 (2004; Zbl 1059.35103) Full Text: DOI