Bifurcations and Exact Traveling Wave Solutions of the Celebrated Green–Naghdi Equations

DOI10.1142/S0218127417501140zbMath1370.34065MaRDI QIDQ5357158

Zhenshu Wen

Publication date: 14 September 2017

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

zbMATH Keywords

blow-up solutionsolitary wave solutionperiodic wave solutionsperiodic blow-up solutionsthe celebrated Green-Naghdi equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Traveling wave solutions (35C07)

Related Items (13)

New approaches for periodic wave solutions of a non-Newtonian filtration equation with variable delay ⋮ Exact explicit nonlinear wave solutions to a modified cKdV equation ⋮ Effect of the Coriolis force on bounded traveling waves of the rotation-two-component Camassa–Holm system ⋮ Bifurcations and Dynamics of Traveling Wave Solutions to a Fujimoto-Watanabe Equation ⋮ Qualitative study of effects of vorticity on traveling wave solutions to the two-component Zakharov–Itō system ⋮ Periodic peakon and smooth periodic solutions for KP-MEW(3,2) equation ⋮ The generalized bifurcation method for deriving exact solutions of nonlinear space-time fractional partial differential equations ⋮ Existence and Dynamics of Bounded Traveling Wave Solutions to Getmanou Equation ⋮ New traveling wave solutions and interesting bifurcation phenomena of generalized KdV-mKdV-like equation ⋮ On the geophysical Green-Naghdi system ⋮ Abundant dynamical behaviors of bounded traveling wave solutions to generalized \(\theta\)-equation ⋮ SEVERAL TYPES OF PERIODIC WAVE SOLUTIONS AND THEIR RELATIONS OF A FUJIMOTO-WATANABE EQUATION ⋮ Bifurcations of Nonlinear Waves in the Generalized KdV–mKdV-Like Equation

Cites Work

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