{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:21:10Z","timestamp":1760242870609,"version":"build-2065373602"},"reference-count":47,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2016,12,22]],"date-time":"2016-12-22T00:00:00Z","timestamp":1482364800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11501204"],"award-info":[{"award-number":["11501204"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007219","name":"Natural Science Foundation of Shanghai","doi-asserted-by":"publisher","award":["15ZR1408300"],"award-info":[{"award-number":["15ZR1408300"]}],"id":[{"id":"10.13039\/100007219","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007836","name":"Shanghai Key Laboratory of Intelligent Information Processing","doi-asserted-by":"publisher","award":["IIPL-2014-001"],"award-info":[{"award-number":["IIPL-2014-001"]}],"id":[{"id":"10.13039\/100007836","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Reduction operators, i.e., the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities, are investigated within the framework of a singular reduction operator. A classification of regular reduction operators is performed with respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave models, which are invariant under certain reduction operators, are also constructed.<\/jats:p>","DOI":"10.3390\/sym9010003","type":"journal-article","created":{"date-parts":[[2016,12,22]],"date-time":"2016-12-22T09:48:53Z","timestamp":1482400133000},"page":"3","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Reduction Operators and Exact Solutions of Variable Coefficient Nonlinear Wave Equations with Power Nonlinearities"],"prefix":"10.3390","volume":"9","author":[{"given":"Dingjiang","family":"Huang","sequence":"first","affiliation":[{"name":"Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yan","family":"Zhu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qinmin","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,12,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Ablowitz, M.J., and Clarkson, P.A. 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