{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1390282679153541504.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1143/jpsj.62.1159"}},{"identifier":{"@type":"BIBCODE","@value":"1993JPSJ...62.1159I"}},{"identifier":{"@type":"NDL_BIB_ID","@value":"3819805"}},{"identifier":{"@type":"URI","@value":"http://id.ndl.go.jp/bib/3819805"}},{"identifier":{"@type":"URI","@value":"https://ndlsearch.ndl.go.jp/books/R000000004-I3819805"}},{"identifier":{"@type":"URI","@value":"http://journals.jps.jp/doi/pdf/10.1143/JPSJ.62.1159"}},{"identifier":{"@type":"NAID","@value":"110001955884"}},{"identifier":{"@type":"NAID","@value":"210000097289"}},{"identifier":{"@type":"NAID","@value":"130003901958"}}],"dc:title":[{"@language":"en","@value":"Nonlinear Refraction and Reflection of Line Soliton Due to a Discontinuity"},{"@language":"ja-Kana","@value":"Nonlinear Refraction and Reflection of"}],"dc:language":"en","description":[{"type":"abstract","notation":[{"@language":"en","@value":"A two-dimensional anharmonic lattice which has a line discontinuity in the mass distribution is considered. We study scattering of the nonlinear waves due to the mass interface. In the continuum approximation, the incident, reflected and transmitted waves are shown to obey three independent KP equations. By solving the KP equations for sech<SUP>2</SUP>-type intial values, we investigate effects of the discontinuous interface on the developement of the incident line soliton. It is shown that the transmitted line soliton breaks up while the reflected soliton does not. The reflection angle is different from the incident angle due to the nonlinearity. These are considered as features of nolinear refraction and reflection phenomena. Our approach is applicable to other two-dimensional nonlinear systems such as shallow water and ion acoustic wave."}],"abstractLicenseFlag":"disallow"}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1410282679153541377","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000401867837"},{"@type":"NRID","@value":"9000254571031"}],"foaf:name":[{"@language":"en","@value":"Iizuka Takeshi"}],"jpcoar:affiliationName":[{"@language":"en","@value":"Department of Physics, Faculty of Science, University of Tokyo"}]},{"@id":"https://cir.nii.ac.jp/crid/1410282679153541376","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000401867838"},{"@type":"NRID","@value":"9000254571032"}],"foaf:name":[{"@language":"en","@value":"Wadati Miki"}],"jpcoar:affiliationName":[{"@language":"en","@value":"Department of Physics, Faculty of Science, University of Tokyo"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"00319015"},{"@type":"LISSN","@value":"00319015"},{"@type":"EISSN","@value":"13474073"},{"@type":"NDL_BIB_ID","@value":"000000118709"},{"@type":"ISSN","@value":"00319015"},{"@type":"NCID","@value":"AA00704814"}],"prism:publicationName":[{"@language":"en","@value":"Journal of the Physical Society of Japan"},{"@language":"ja","@value":"Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ"},{"@language":"en","@value":"JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN"},{"@language":"en","@value":"JPSJ"},{"@language":"ja","@value":"ＪＰＳＪ"}],"dc:publisher":[{"@language":"en","@value":"THE PHYSICAL SOCIETY OF JAPAN"},{"@language":"ja","@value":"一般社団法人 日本物理学会"}],"prism:publicationDate":"1993","prism:volume":"62","prism:number":"4","prism:startingPage":"1159","prism:endingPage":"1166"},"reviewed":"false","url":[{"@id":"http://id.ndl.go.jp/bib/3819805"},{"@id":"https://ndlsearch.ndl.go.jp/books/R000000004-I3819805"},{"@id":"http://journals.jps.jp/doi/pdf/10.1143/JPSJ.62.1159"}],"availableAt":"1993","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=General%20Physics%20and%20Astronomy","dc:title":"General Physics and Astronomy"}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360564064175499008","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Solitons, Nonlinear Evolution Equations and Inverse Scattering"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001204186229120","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Edge-Layer Theory for Shallow-Water Waves over a Step —Reflection and Transmission of a Soliton"},{"@value":"Edge-Layer Theory for Shallow-Water Waves over a Step--Reflection and Transmission of a Soliton"},{"@language":"ja-Kana","@value":"Edge Layer Theory for Shallow Water Wav"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679154230656","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Soliton Transmission and Reflection in Discontinuous Media"},{"@language":"ja-Kana","@value":"Soliton Transmission and Reflection in"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679154471424","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Scattering of Envelope Solitons by a Mass Impurity in Nonlinear Lattices"},{"@language":"ja-Kana","@value":"Scattering of Envelope Solitons by a Ma"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679156727168","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Numerical Analyses of the Localized Structures on an Uneven Bottom Associated with the Davey-Stewarts on 1 Equations."}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679158919808","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"The Davey-Stewartson Equation with Perturbation due to Inhomogeteity."}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679162785792","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Reflection and Transmission of a Shallow-Water Soliton over a Barrier"},{"@language":"ja-Kana","@value":"Reflection and Transmission of a Shallo"},{"@value":"Reflection and Transmission of a Shallow-Water Soliton over a Barrir"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679163121280","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Reflection of Ion-Acoustic Waves and Solitons"},{"@language":"ja-Kana","@value":"Reflection of Ion Acoustic Waves and So"}]},{"@id":"https://cir.nii.ac.jp/crid/1520010380030673280","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Nonlinear solitary structures in an inhomogeneous magnetized plasma having trapped electrons and dust particles with different polarity"},{"@language":"ja-Kana","@value":"Nonlinear solitary structures in an inhomogeneous magnetized plasma having trapped electrons and dust particles with different polarity"}]},{"@id":"https://cir.nii.ac.jp/crid/1521417755340220672","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Reflection and Transmission of Lattice Solitons"},{"@language":"ja-Kana","@value":"Reflection and Transmission of 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