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Nonlinear dynamics of quadratically cubic systems
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för maskinteknik.
2013 (engelsk)Inngår i: Physics Uspekhi, ISSN 1063-7869, E-ISSN 1468-4780, Vol. 56, nr 7, s. 683-690Artikkel, forskningsoversikt (Fagfellevurdert) Published
Abstract [en]

We propose a modified form of the well-known nonlinear dynamic equations with quadratic relations used to model a cubic nonlinearity. We show that such quadratically cubic equations sometimes allow exact solutions and sometimes make the original problem easier to analyze qualitatively. Occasionally, exact solutions provide a useful tool for studying new phenomena. Examples considered include nonlinear ordinary differential equations and Hopf, Burgers, Korteweg-de Vries, and nonlinear Schrodinger partial differential equations. Some problems are solved exactly in the space-time and spectral representations. Unsolved problems potentially solvable by the proposed approach are listed.

sted, utgiver, år, opplag, sider
TURPION LTD, IOP PUBLISHING , 2013. Vol. 56, nr 7, s. 683-690
Emneord [en]
Equation, Waves, Media
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-6853DOI: 10.3367/UFNr.0183.201307b.0719ISI: 000325716100002Lokal ID: oai:bth.se:forskinfo80F85A62BECBD83EC1257C2E002E88B4OAI: oai:DiVA.org:bth-6853DiVA, id: diva2:834404
Tilgjengelig fra: 2013-11-25 Laget: 2013-11-25 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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