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Inhomogeneous Burgers Equation with Modular Nonlinearity: Excitation and Evolution of High-Intensity Waves
Blekinge Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.
2017 (English)In: Doklady. Mathematics, ISSN 1064-5624, E-ISSN 1531-8362, Vol. 95, no 3, 291-294 p.Article in journal (Refereed) Published
Abstract [en]

Solutions to an inhomogeneous partial differential equation of the second-order like Burgers equation are derived. Instead of the common quadratically nonlinear term, this equation contains the term with modular nonlinearity. This model describes the excitation of elastic waves in dissipative media differently reacting to tensile and compressive stresses. The equation is linear for the functions, preserving the sign. Nonlinear effects are manifested only to alternating functions. The solution for the periodic signal is found. The processes of generation of fundamental and higher harmonics are studied. The stationary wave profile is constructed. For one special kind of right-hand-side of the "modular" equation the solution in the form of S-wave is pointed out which is a bipolar single pulse.

Place, publisher, year, edition, pages
Maik Nauka/Interperiodica, 2017. Vol. 95, no 3, 291-294 p.
National Category
Other Mechanical Engineering
Identifiers
URN: urn:nbn:se:bth-15037DOI: 10.1134/S1064562417030255ISI: 000405696000024OAI: oai:DiVA.org:bth-15037DiVA: diva2:1135135
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open access

Available from: 2017-08-22 Created: 2017-08-22 Last updated: 2017-09-12Bibliographically approved

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Rudenko, Oleg
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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