http://www.colloquiam.com/wd/index.php?action=history&feed=atom&title=Mehmood_et_al_2025aMehmood et al 2025a - Revision history2026-05-11T13:54:26ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10http://www.colloquiam.com/wd/index.php?title=Mehmood_et_al_2025a&diff=323347&oldid=prevScipediacontent: Scipediacontent moved page Review 485102659557 to Mehmood et al 2025a2025-08-14T09:11:54Z<p>Scipediacontent moved page <a href="/public/Review_485102659557" class="mw-redirect" title="Review 485102659557">Review 485102659557</a> to <a href="/public/Mehmood_et_al_2025a" title="Mehmood et al 2025a">Mehmood et al 2025a</a></p>
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</td></tr></table>Scipediacontenthttp://www.colloquiam.com/wd/index.php?title=Mehmood_et_al_2025a&diff=323327&oldid=prevJSanchez: JSanchez moved page Draft Sanchez Pinedo 284462152 to Review 4851026595572025-08-14T08:54:27Z<p>JSanchez moved page <a href="/public/Draft_Sanchez_Pinedo_284462152" class="mw-redirect" title="Draft Sanchez Pinedo 284462152">Draft Sanchez Pinedo 284462152</a> to <a href="/public/Review_485102659557" class="mw-redirect" title="Review 485102659557">Review 485102659557</a></p>
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</td></tr></table>JSanchezhttp://www.colloquiam.com/wd/index.php?title=Mehmood_et_al_2025a&diff=323326&oldid=prevJSanchez: Created page with " == Abstract == <p>This paper explores the dynamic behavior of optical soliton solutions for the modified Kawahara (mK) equation and the modified BenjaminBona-Mahony (mBBM) e..."2025-08-14T08:54:25Z<p>Created page with " == Abstract == <p>This paper explores the dynamic behavior of optical soliton solutions for the modified Kawahara (mK) equation and the modified BenjaminBona-Mahony (mBBM) e..."</p>
<p><b>New page</b></p><div><br />
== Abstract ==<br />
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<p>This paper explores the dynamic behavior of optical soliton solutions for the modified Kawahara (mK) equation and the modified BenjaminBona-Mahony (mBBM) equation, two significant nonlinear evolution equations. Using an advanced analytical approach, a diverse set of soliton solutions is derived, including bell-shaped, anti-bell-shaped, W-shaped, M-shaped, and periodic waveforms. These solutions unveil the intricate nonlinear dynamics underlying the equations. The robustness of the method is demonstrated through comprehensive 2D, 3D, and contour visualizations, offering clear insights into the physical significance of the solitons. The study enhances the existing catalog of soliton solutions, contributing to a deeper understanding of nonlinear wave propagation and its potential applications in fields such as optical communication and fluid dynamics.OPEN ACCESS Received: 06/05/2025 Accepted: 09/06/2025 Published: 15/08/2025</p><br />
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== Document ==<br />
<pdf>Media:Draft_Sanchez Pinedo_284462152-1826-document.pdf</pdf></div>JSanchez