Chen, Hongqiu; Chen, Min; Nguyen, Nghiem V. Cnoidal wave solutions to Boussinesq systems. (English) Zbl 1122.35106 Nonlinearity 20, No. 6, 1443-1461 (2007). Cited in 9 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions 34L30 Nonlinear ordinary differential operators 35Q51 Soliton equations 35S15 Boundary value problems for PDEs with pseudodifferential operators 76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 76B25 Solitary waves for incompressible inviscid fluids Keywords:existence of periodic travelling-wave solutions; explicit solutions; Jacobi elliptic function; stability PDF BibTeX XML Cite \textit{H. Chen} et al., Nonlinearity 20, No. 6, 1443--1461 (2007; Zbl 1122.35106) Full Text: DOI