{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T10:15:35Z","timestamp":1775470535224,"version":"3.50.1"},"reference-count":28,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100005417","name":"Universiti Teknologi Malaysia","doi-asserted-by":"publisher","award":["PY\/2013\/00474"],"award-info":[{"award-number":["PY\/2013\/00474"]}],"id":[{"id":"10.13039\/501100005417","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>The forced Korteweg-de Vries (fKdV) equations are solved using Homotopy Analysis Method (HAM). HAM is an approximate analytical technique which provides a novel way to obtain series solutions of such nonlinear problems. It has the auxiliary parameter<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\u210f<\/mml:mi><\/mml:mrow><\/mml:math>, where it is easy to adjust and control the convergence region of the series solution. Some examples of forcing terms are employed to analyse the behaviours of the HAM solutions for the different fKdV equations. Finally, this form of HAM solution is compared with the analytical soliton-type solution of fKdV equation as derived by Zhao and Guo. The results is found to be in good agreement with Zhao and Guo.<\/jats:p>","DOI":"10.1155\/2013\/795818","type":"journal-article","created":{"date-parts":[[2013,12,9]],"date-time":"2013-12-09T16:02:10Z","timestamp":1386604930000},"page":"1-9","source":"Crossref","is-referenced-by-count":11,"title":["Approximate Analytical Solution for the Forced Korteweg-de Vries Equation"],"prefix":"10.1155","volume":"2013","author":[{"given":"Vincent Daniel","family":"David","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia"},{"name":"Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia"}]},{"given":"Mojtaba","family":"Nazari","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, 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