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Collisions, mutual losses and annihilation of pulses in a modular nonlinear medium
Blekinge Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.ORCID iD: 0000-0001-8739-4492
Blekinge Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.
2017 (English)In: Nonlinear dynamics, ISSN 0924-090X, E-ISSN 1573-269X, 1-9 p.Article in journal (Refereed) Epub ahead of print
Abstract [en]

One of the most important sections of nonlinear wave theory is related to the collisions of single pulses. These often exhibit corpuscular properties. For example, it is well known that solitons described by the Korteweg–de Vries equation and a few other conservative model equations exhibit properties of elastic particles, while shock waves described by dissipative models like Burgers’ equation stick together as absolutely inelastic particles when colliding. The interactions of single pulses in media with modular nonlinearity considered here reveal new physical features that are still poorly understood. There is an analogy between the single pulses collision and the interaction of clots of chemical reactants, such as fuel and oxidant, where the smaller component disappears and the larger one decreases after a reaction. At equal “masses” both clots can be annihilated. In this work various interactions of two and three pulses are considered. The conditions for which a complete annihilation of the pulses occurs are indicated. © 2017 The Author(s)

Place, publisher, year, edition, pages
Springer Netherlands, 2017. 1-9 p.
Keyword [en]
Annihilation, Bimodular media, Modular nonlinearity, Mutual loss, Nonlinear partial differential equation, Pulse interaction, Control nonlinearities, Partial differential equations, Shock waves, Nonlinear partial differential equations, Nonlinear equations
National Category
Other Mechanical Engineering Other Physics Topics
Identifiers
URN: urn:nbn:se:bth-15214DOI: 10.1007/s11071-017-3785-6Scopus ID: 2-s2.0-85028966269OAI: oai:DiVA.org:bth-15214DiVA: diva2:1145556
Note

Export Date: 29 September 2017; Article in Press; CODEN: NODYE; Correspondence Address: Hedberg, C.M.; Blekinge Institute of TechnologySweden; email: claes.hedberg@gmail.com

Available from: 2017-09-29 Created: 2017-09-29 Last updated: 2017-09-29Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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