Geometric singular perturbation analysis to Camassa-Holm Kuramoto-Sivashinsky equation

DOI10.1016/j.jde.2021.10.033zbMath1477.35160OpenAlexW3208499096MaRDI QIDQ2664924

Ji Li, Zeng-Ji Du

Publication date: 18 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2021.10.033

zbMATH Keywords

homoclinic orbitsinvariant manifoldCamassa-Holm equationsolitary wave solutionsgeometric singular perturbation theory

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Solitary waves for incompressible inviscid fluids (76B25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Blow-up in context of PDEs (35B44) Soliton solutions (35C08)

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