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Nonlinear dynamics ...
Nonlinear dynamics of quadratically cubic systems
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- Rudenko, Oleg (author)
- Blekinge Tekniska Högskola,Institutionen för maskinteknik
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(creator_code:org_t)
- TURPION LTD, IOP PUBLISHING, 2013
- 2013
- English.
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In: Physics Uspekhi. - : TURPION LTD, IOP PUBLISHING. - 1063-7869 .- 1468-4780. ; 56:7, s. 683-690
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.3...
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Abstract
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Equation
- Waves
- Media
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