Discrete Boussinesq-type equations

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dc.contributor.authorHietarinta Jarmo
dc.contributor.authorZhang Da-jun
dc.contributor.organizationfi=teoreettisen fysiikan laboratorio|en=Laboratory of Theoretical Physics|
dc.contributor.organization-code1.2.246.10.2458963.20.14547848953
dc.converis.publication-id68935619
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/68935619
dc.date.accessioned2022-10-28T13:56:53Z
dc.date.available2022-10-28T13:56:53Z
dc.description.abstract<p>We present a comprehensive review of the discrete Boussinesq equations based<br>on their three-component forms on an elementary quadrilateral. These equa-<br>tions were originally found by Nijhoff et al using the direct linearization method<br>and later generalized by Hietarinta using a search method based on multidi-<br>mensional consistency. We derive from these three-component equations their<br>two- and one-component variants. From the one-component form we derive two<br>different semi-continuous limits as well as their fully continuous limits, which<br>turn out to be PDE’s for the regular, modified and Schwarzian Boussinesq<br>equations. Several kinds of Lax pairs are also provided. Finally we give their<br>Hirota bilinear forms and multi-soliton solutions in terms of Casoratians.<br></p>
dc.format.extent48
dc.format.pagerange101
dc.format.pagerange54
dc.identifier.eisbn978-1-00-308767-0
dc.identifier.olddbid185363
dc.identifier.oldhandle10024/168457
dc.identifier.urihttps://www.utupub.fi/handle/11111/42202
dc.identifier.urnURN:NBN:fi-fe2022020818109
dc.language.isoen
dc.okm.affiliatedauthorHietarinta, Jarmo
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA3 Book
dc.publisherCRC Press
dc.publisher.countryUnited Statesen_GB
dc.publisher.countryYhdysvallat (USA)fi_FI
dc.publisher.country-codeUS
dc.publisher.isbn978-0-8493; 978-0-87762; 978-0-87819; 978-0-935184; 978-1-4200; 978-1-4398; 978-1-4665; 978-1-4822; 978-1-4987; 978-1-56676; 978-1-57491; 978-1-58488; 978-1-58716; 978-0-415; 978-1-134; 978-1-135; 978-1-136; 978-1-138; 978-1-315; 978-1-317; 978-1-84184; 978-1-84214; 978-0-8153; 978-0-429; 978-0-367; 978-1-351
dc.publisher.placeBoca Raton
dc.relation.doi10.1201/9781003087670-3
dc.source.identifierhttps://www.utupub.fi/handle/10024/168457
dc.titleDiscrete Boussinesq-type equations
dc.title.bookNonlinear Systems and Their Remarkable Mathematical Structures: Volume 3, Contributions from China
dc.year.issued2021

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