SOME TRAVELING WAVE SOLITONS OF THE GREEN–NAGHDI SYSTEM

DOI10.1142/S0218127411028623zbMath1210.35028OpenAlexW2081735292MaRDI QIDQ2994883

Shengfu Deng, Ting-chun Wang, Bo-ling Guo

Publication date: 29 April 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411028623

zbMATH Keywords

periodic cusp wave solutionsmooth periodic wave solutionGreen-Naghdi systemcusp soliton wave solutionsmooth soliton wave solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) PDEs in connection with fluid mechanics (35Q35) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items

Smooth and singular traveling wave solutions for the Serre-Green-Naghdi equations ⋮ Classification of traveling wave solutions to the Green-Naghdi model ⋮ Smooth Exact Traveling Wave Solutions Determined by Singular Nonlinear Traveling Wave Systems: Two Models ⋮ On the geophysical Green-Naghdi system ⋮ TRAVELING WAVE SOLUTIONS OF THE GREEN–NAGHDI SYSTEM

Cites Work

• Large time existence for 3D water waves and asymptotics
• On the theory of water waves
• A derivation of equations for wave propagation in water of variable depth
• Fully nonlinear internal waves in a two-fluid system
• Hamiltonian Structure and Linear Stability of Solitary Waves of the Green-Naghdi Equations