An implicit difference scheme for the long-time evolution of localized solutions of a generalized Boussinesq system

DOI10.1006/JCPH.1995.1004zbMath0822.65118OpenAlexW2084396382MaRDI QIDQ1346504

Gérard A. Maugin, Christo I. Christov

Publication date: 5 April 1995

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1995.1004

zbMATH Keywords

stabilitylocalized solutionslinear wave equationlong-time evolutionBoussinesq-like equationdifferential- difference equationsfully implicit difference schemeNewton's quasilinearization

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications to the sciences (65Z05)

Related Items (4)

Waves in microstructured solids and the Boussinesq paradigm ⋮ Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations ⋮ Solitary wave interactions and reshaping in coupled systems ⋮ Solitons in elastic solids (1938--2010)

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