Existence of solitary waves and periodic waves for a perturbed generalized BBM equation

DOI10.1016/j.jde.2016.08.003zbMath1358.34051OpenAlexW2507381567MaRDI QIDQ324552

Aiyong Chen, Xijun Deng, Lina Guo

Publication date: 17 October 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.08.003

zbMATH Keywords

HamiltonianBBM equationcuspidal looptraveling wavePicard-Fuchs equationabelian integral

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Traveling wave solutions (35C07) Soliton solutions (35C08)

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