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Nonlinear wave interactions for quasilinear hyperbolic 2×2 systems
Journal Title AAPP | Physical, Mathematical, and Natural Sciences
Journal Abbreviation AAPP
Publisher Group Università Degli Studi Di Messina (UNIME)
Website http://cab.unime.it/journals/
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Title Nonlinear wave interactions for quasilinear hyperbolic 2×2 systems
Authors Currò, Carmela; Fusco, Domenico
Abstract A reduction approach based upon the combined use of differential constraints theory and hodograph method is developed in order to determine closed form solutions for 2×2 hyperbolic quasilinear nonhomogeneous models. The problem of integrating the standard linear hodograph system associated with 2×2 homogeneous models is also considered. Along the lines of the proposed reduction approach different examples of 2×2 governing models are analyzed in order to highlight the flexibility of the provided solutions to describe hyperbolic wave processes.
Publisher Accademia Peloritana dei Pericolanti
Date 2013-01-29
Source 0365-0359
Rights Articles and conference papers published in Atti della Accademia Peloritana dei Pericolanti – Classe di Scienze Fisiche, Matematiche e Naturali are distributed under the terms and conditions of a Creative Commons Attribution 3.0 Unported License (effective since 2009, Vol. 87). Correspondingly, authors who publish with this journal agree to the following terms:Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work´s authorship and initial publication in this journal.Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal´s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access). 

 

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