{"created":"2023-05-15T14:58:47.260127+00:00","id":79751,"links":{},"metadata":{"_buckets":{"deposit":"4d069bc2-8894-43c1-88f5-58e0185b8d4d"},"_deposit":{"created_by":1,"id":"79751","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"79751"},"status":"published"},"_oai":{"id":"oai:repo.qst.go.jp:00079751","sets":["1"]},"author_link":["862368","862366","862367"],"item_8_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicVolumeNumber":"384","bibliographic_titles":[{"bibliographic_title":"Physics Letters A"}]}]},"item_8_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The hodograph transformation is generally used in order to associate a system of linear partial differential equations to a system of nonlinear (quasilinear) differential equations by interchanging dependent and independent variables. Here we consider the case when the nonlinear differential system can be derived from a Lagrangian density and revisit the hodograph transformation within the formalism of the Lagrangian-Hamiltonian continuous dynamical systems.\n\nRestricting to the case of nondissipative, nondispersive one-dimensional waves, we show that the hodograph transformation leads to a linear partial differential equation for an unknown function that plays the role of the Lagrangian in the hodograph variables. We then define the corresponding hodograph Hamiltonian and show that it turns out to coincide with the wave amplitude. i.e., with the unknown function of the independent variables to be solved for in the initial nonlinear wave equation.","subitem_description_type":"Abstract"}]},"item_8_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.physleta.2019.126064","subitem_relation_type_select":"DOI"}}]},"item_8_relation_17":{"attribute_name":"関連サイト","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://www.sciencedirect.com/science/article/abs/pii/S0375960119309545#!","subitem_relation_type_select":"URI"}}]},"item_8_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0375-9601","subitem_source_identifier_type":"ISSN"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"metadata only access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_14cb"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Pegoraro, Francesco"}],"nameIdentifiers":[{"nameIdentifier":"862366","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Bulanov, Sergey"}],"nameIdentifiers":[{"nameIdentifier":"862367","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Bulanov, Sergey","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"862368","nameIdentifierScheme":"WEKO"}]}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Nonlinear, nondispersive wave equations: Lagrangian and Hamiltonian functions in the hodograph transformation","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Nonlinear, nondispersive wave equations: Lagrangian and Hamiltonian functions in the hodograph transformation"}]},"item_type_id":"8","owner":"1","path":["1"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-04-01"},"publish_date":"2020-04-01","publish_status":"0","recid":"79751","relation_version_is_last":true,"title":["Nonlinear, nondispersive wave equations: Lagrangian and Hamiltonian functions in the hodograph transformation"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-15T22:04:58.098024+00:00"}