{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T00:47:58Z","timestamp":1771030078542,"version":"3.50.1"},"reference-count":58,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2022,9,19]],"date-time":"2022-09-19T00:00:00Z","timestamp":1663545600000},"content-version":"vor","delay-in-days":261,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11975156"],"award-info":[{"award-number":["11975156"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11775146"],"award-info":[{"award-number":["11775146"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2022,1]]},"abstract":"<jats:p>\n                    The consistent tanh expansion (CTE) method is successfully applied to the coupled integrable dispersionless (CID) system. A nonauto\u2010B\u00e4cklund transformation (BT) theorem includes two fields\n                    <jats:italic>f<\/jats:italic>\n                    and\n                    <jats:italic>v<\/jats:italic>\n                    <jats:sub>1<\/jats:sub>\n                    is obtained by using the CTE method. One obtains the consistent condition in the nonauto\u2010BT theorem by means of the relation between the fields\n                    <jats:italic>f<\/jats:italic>\n                    and\n                    <jats:italic>v<\/jats:italic>\n                    <jats:sub>1<\/jats:sub>\n                    . The CID system possesses the CTE solvability property by some detailed analysis. Many interactions between one soliton and multiple resonant solitons, and between one soliton and cnoidal waves are generated by using the nonauto\u2010BT theorem. The types of bright and gray two front waves are shown by some figures. In the meanwhile, the nonlocal symmetry is obtained by the truncated Painlev\u00e9 method and the M\u00f6bious invariant form. The initial value problem and an auto\u2010BT are constructed by the localization procedure.\n                  <\/jats:p>","DOI":"10.1155\/2022\/3221447","type":"journal-article","created":{"date-parts":[[2022,9,19]],"date-time":"2022-09-19T16:20:08Z","timestamp":1663604408000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["CTE Solvability, Nonlocal Symmetry, and Interaction Solutions of Coupled Integrable Dispersionless System"],"prefix":"10.1155","volume":"2022","author":[{"given":"Jun","family":"Yu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3534-7528","authenticated-orcid":false,"given":"Bo","family":"Ren","sequence":"additional","affiliation":[]},{"given":"Ping","family":"Liu","sequence":"additional","affiliation":[]},{"given":"Jia-Li","family":"Zhou","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2022,9,19]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.19.1095"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.4904492"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2016.02.032"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511543043"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0274-2"},{"key":"e_1_2_9_6_2","volume-title":"Symmetry and Integration Methods for Differential Equations","author":"Bluman G. 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