Cnoidal wave solutions to Boussinesq systems

DOI10.1088/0951-7715/20/6/007zbMath1122.35106OpenAlexW2151304430MaRDI QIDQ5296065

Hongqiu Chen, Nghiem V. Nguyen, Min Chen

Publication date: 1 August 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5a1afb281ab7c33663c5bd6222527afbfcfde326

zbMATH Keywords

stabilityexplicit solutionsJacobi elliptic functionexistence of periodic travelling-wave solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Boundary value problems for PDEs with pseudodifferential operators (35S15) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Nonlinear ordinary differential operators (34L30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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