{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T12:16:08Z","timestamp":1778328968272,"version":"3.51.4"},"reference-count":10,"publisher":"IOP Publishing","issue":"3","license":[{"start":{"date-parts":[[2018,2,12]],"date-time":"2018-02-12T00:00:00Z","timestamp":1518393600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2018,2,12]],"date-time":"2018-02-12T00:00:00Z","timestamp":1518393600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","award":["PTDC\/MAT-CAL\/4334\/2014"],"award-info":[{"award-number":["PTDC\/MAT-CAL\/4334\/2014"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Nonlinearity"],"published-print":{"date-parts":[[2018,3,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We study the stability in a partial linearisation framework of a particular travelling wave\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mstyle displaystyle=\"false\">\n                          <mml:mo stretchy=\"false\">(<\/mml:mo>\n                          <mml:mn>0<\/mml:mn>\n                          <mml:mo>,<\/mml:mo>\n                          <mml:mrow>\n                            <mml:mover accent=\"true\">\n                              <mml:mi>V<\/mml:mi>\n                              <mml:mo stretchy=\"false\">~<\/mml:mo>\n                            <\/mml:mover>\n                          <\/mml:mrow>\n                          <mml:mo stretchy=\"false\">)<\/mml:mo>\n                        <\/mml:mstyle>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    of the quasilinear Benney system, where\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mstyle displaystyle=\"false\">\n                          <mml:mrow>\n                            <mml:mover accent=\"true\">\n                              <mml:mi>V<\/mml:mi>\n                              <mml:mo stretchy=\"false\">~<\/mml:mo>\n                            <\/mml:mover>\n                          <\/mml:mrow>\n                        <\/mml:mstyle>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    is a standing wave with a shock profile for the viscous conservation law.\n                  <\/jats:p>","DOI":"10.1088\/1361-6544\/aaaa09","type":"journal-article","created":{"date-parts":[[2018,2,12]],"date-time":"2018-02-12T11:13:57Z","timestamp":1518434037000},"page":"1110-1119","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Decay of solutions for a class of nonlinear Schr\u00f6dinger equations in\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mstyle>\n                        <mml:mrow>\n                          <mml:mi>R<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:mstyle>\n                    <\/mml:math>\n                    and the stability of shock profiles for a quasilinear Benney system"],"prefix":"10.1088","volume":"31","author":[{"given":"Jo\u00e3o-Paulo","family":"Dias","sequence":"first","affiliation":[]},{"given":"Pedro","family":"Freitas","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2018,2,12]]},"reference":[{"key":"nonaaaa09bib001","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1002\/sapm197756181","type":"journal-article","article-title":"A general theory for interactions between short and long waves","volume":"56","author":"Benney","year":"1977","journal-title":"Stud. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2017-09-12","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2018-01-23","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2018-02-12","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}