Homoclinic solutions of a fourth-order travelling wave ODE

DOI10.4171/PM/1787zbMath1162.34036OpenAlexW2030431313MaRDI QIDQ2474787

Stepan Agop Tersian, Diko Souroujon, Gheorghe Morosanu

Publication date: 6 March 2008

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1787

zbMATH Keywords

travelling waveshomoclinic solutionswater wavesshooting methodfourth-order differential euqations

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (1)

A class of multi-parameter eigenvalue problems for perturbed \(p\)-Laplacians

Cites Work

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• Pulse-like spatial patterns described by higher-order model equations
• Hamiltonian long-wave approximations to the water-wave problem
• A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation
• A global investigation of solitary-wave solutions to a two-parameter model for water waves
• Embedded solitons: Solitary waves in resonance with the linear spectrum

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