{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:17:51Z","timestamp":1760149071004,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,6,29]],"date-time":"2023-06-29T00:00:00Z","timestamp":1687996800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research, Qassim University"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The new Laplace variational iterative method is used in this research for solving the (2+1)-D and (3+1)-D Burgers equations. This technique relies on the modified variational iteration method and the Laplace transform. To apply this approach, the differential problem is first transformed into an algebraic form using the Laplace transform, and then the algebraic equations are iteratively solved using the modified variational iterative approach. By utilizing this technique, the Burgers equations can be solved both numerically and analytically. The study demonstrates the effectiveness of the new Laplace variational iterative approach through three specific examples.<\/jats:p>","DOI":"10.3390\/axioms12070647","type":"journal-article","created":{"date-parts":[[2023,6,30]],"date-time":"2023-06-30T01:14:12Z","timestamp":1688087652000},"page":"647","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Solutions of (2+1)-D &amp; (3+1)-D Burgers Equations by New Laplace Variational Iteration Technique"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4278-2808","authenticated-orcid":false,"given":"Gurpreet","family":"Singh","sequence":"first","affiliation":[{"name":"Department of Applied Sciences, Chitkara University Institute of Engineering and Technology, Chitkara University, Rajpura 140401, India"},{"name":"Department of Physical Sciences, Sant Baba Bhag Singh University, Jalandhar 144030, India"}]},{"given":"Inderdeep","family":"Singh","sequence":"additional","affiliation":[{"name":"Department of Physical Sciences, Sant Baba Bhag Singh University, Jalandhar 144030, India"}]},{"given":"Afrah M.","family":"AlDerea","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Arts, Qassim University, AL-Badaya 51951, Saudi Arabia"}]},{"given":"Agaeb Mahal","family":"Alanzi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Arts, Qassim University, AL-Badaya 51951, Saudi Arabia"}]},{"given":"Hamiden Abd El-Wahed","family":"Khalifa","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Arts, Qassim University, AL-Badaya 51951, Saudi Arabia"},{"name":"Department of Operations and Management Research, Cairo University, Giza 12613, Egypt"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4146323","DOI":"10.1155\/2016\/4146323","article-title":"The variational Homotopy Perturbation method for solving ((n \u00d7 n) + 1). 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