Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms

DOI10.3934/dcdsb.2018341zbMath1477.34057OpenAlexW2899949020WikidataQ128951752 ScholiaQ128951752MaRDI QIDQ1755949

Pei Yu, Xian Bo Sun

Publication date: 11 January 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018341

zbMATH Keywords

solitary wavegeneralized Benjamin-Bona-Mahony equationabelian integralisolated periodic traveling wave

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Traveling wave solutions (35C07)

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