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This study focused on the perturbed Boussinesq (PB) equation incorporating dual perturbation terms. Soliton solutions were deduced by leveraging the traveling wave hypothesis. Furthermore, by employing the generalized Jacobi elliptic expansion function (JEEF) method and the improved tan (\u039b\/2) method, diverse nonlinear wave solutions, including kink, dark, periodic, bright, singular, periodic waves, bell\u2010shaped solitons, solitary waves, shock waves, and kink\u2010shaped soliton solutions, were acquired. The establishment of constraint relations is detailed to delineate the criteria for the existence of these wave solutions. Notably, these solutions are innovative and present novel contributions that have not yet been documented in the literature. In addition, 2D and 3D graphics were constructed to visually elucidate the physical behavior inherent to these newly acquired exact solutions.<\/jats:p>","DOI":"10.1155\/cplx\/2800207","type":"journal-article","created":{"date-parts":[[2025,5,31]],"date-time":"2025-05-31T01:06:21Z","timestamp":1748653581000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Novel Soliton and Wave Solutions for the Dual\u2010Perturbed Integrable Boussinesq Equation"],"prefix":"10.1155","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1892-3212","authenticated-orcid":false,"given":"Akhtar","family":"Hussain","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6895-3268","authenticated-orcid":false,"given":"Tarek F.","family":"Ibrahim","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0009-0002-3622-1238","authenticated-orcid":false,"given":"Faizah","family":"D. 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