https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Mehmood_content_2026aMehmood content 2026a - Revision history2026-05-20T05:49:49ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Mehmood_content_2026a&diff=331304&oldid=prevScipediacontent: Scipediacontent moved page Draft content 517793829 to Mehmood content 2026a2026-05-14T07:50:08Z<p>Scipediacontent moved page <a href="/public/Draft_content_517793829" class="mw-redirect" title="Draft content 517793829">Draft content 517793829</a> to <a href="/public/Mehmood_content_2026a" title="Mehmood content 2026a">Mehmood content 2026a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Mehmood_content_2026a&diff=331303&oldid=prevScipediacontent: 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..."2026-05-14T07:50:05Z<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>
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== 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_content_517793829-8057-document.pdf</pdf></div>Scipediacontent