Classification of travelling waves in the Fornberg-Whitham equation

DOI10.1016/j.jmaa.2010.03.037zbMath1189.35042OpenAlexW1966343911MaRDI QIDQ972467

Lixin Tian, Jiuli Yin, Xinghua Fan

Publication date: 19 May 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.037

zbMATH Keywords

fractal-like waveslooped and cusped wave solutionspeaked and kink-like wave solutionsstumpons

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Traveling wave solutions (35C07)

Related Items

Well-posedness of the Fornberg-Whitham equation on the circle ⋮ Single peak solitary wave solutions for the Fornberg–Whitham equation ⋮ Bifurcations and exact traveling wave solutions for the regularized Schamel equation ⋮ New approach for the Fornberg-Whitham type equations ⋮ Norm inflation and ill-posedness for the Fornberg-Whitham equation ⋮ Bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation ⋮ An analytical approach to the fornberg-whitham type equations by using the variational iteration method ⋮ Towered waves and anti-waves in the generalized Degasperis-Procesi equation ⋮ New perspective on the conventional solutions of the nonlinear time-fractional partial differential equations ⋮ Algebraic traveling wave solutions of a non-local hydrodynamic-type model ⋮ The existence and decay of solitary waves for the Fornberg-Whitham equation ⋮ Conservation laws and exact solutions of the Whitham-type equations ⋮ The well-posedness, blow-up, and traveling waves for a two-component Fornberg–Whitham system ⋮ The well-posedness, ill-posedness and non-uniform dependence on initial data for the Fornberg-Whitham equation in Besov spaces

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