{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T18:21:25Z","timestamp":1769192485988,"version":"3.49.0"},"reference-count":29,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,9,14]],"date-time":"2020-09-14T00:00:00Z","timestamp":1600041600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100007446","name":"King Khalid University","doi-asserted-by":"publisher","award":["R.G.P-1\/151\/40"],"award-info":[{"award-number":["R.G.P-1\/151\/40"]}],"id":[{"id":"10.13039\/501100007446","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,9,14]]},"abstract":"<jats:p>This paper investigates the analytical, semianalytical, and numerical solutions of the <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mn>2<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:math>\u2013dimensional integrable Schwarz\u2013Korteweg\u2013de Vries (SKdV) equation. The extended simplest equation method, the sech-tanh method, the Adomian decomposition method, and cubic spline scheme are employed to obtain distinct formulas of solitary waves that are employed to calculate the initial and boundary conditions. Consequently, the numerical solutions of this model can be investigated. Moreover, their stability properties are also analyzed. The solutions obtained by means of these techniques are compared to unravel relations between them and their characteristics illustrated under the suitable choice of the parameter values.<\/jats:p>","DOI":"10.1155\/2020\/2394030","type":"journal-article","created":{"date-parts":[[2020,9,14]],"date-time":"2020-09-14T23:31:04Z","timestamp":1600126264000},"page":"1-13","source":"Crossref","is-referenced-by-count":6,"title":["Computational and Numerical Solutions for <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mn>2<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:math>-Dimensional Integrable Schwarz\u2013Korteweg\u2013de Vries Equation with Miura Transform"],"prefix":"10.1155","volume":"2020","author":[{"given":"Raghda A. M.","family":"Attia","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China"},{"name":"Department of Basic Science, Higher Technological Institute, 10th of Ramadan 44634, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. H.","family":"Alfalqi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Arts in Mahayil Asir, King Khalid University, Abha, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. F.","family":"Alzaidi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Arts in Mahayil Asir, King Khalid University, Abha, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7867-1638","authenticated-orcid":true,"given":"Mostafa M. 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