The \(K(m, n)\) equation with generalized evolution term studied by symmetry reductions and qualitative analysis

DOI10.1016/j.amc.2012.03.084zbMath1246.35172OpenAlexW2051302974MaRDI QIDQ449456

R. Hansen, Maria de los Santos Bruzon Gallego, Maria Luz Gandarias, Graciela Adriana González

Publication date: 30 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.03.084

zbMATH Keywords

Hamiltonian systemsymmetry reductionsconserved quantitysolitary\(K(mkink and periodically traveling wave solutionsn)\) equation

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Soliton equations (35Q51) Methods of ordinary differential equations applied to PDEs (35A24) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

Symmetries and conservation laws for some compacton equation ⋮ Lie symmetries and equivalence transformations for the Barenblatt-Gilman model ⋮ Classification of exact solutions for generalized form of \(K(m,n)\) equation ⋮ Nonclassical symmetries of a power law Harry Dym equation

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