<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This study delves into the exploration of three distinct envelope solitons within the nonlinear dispersive modified Benjamin Bona Mahony (NDMBBM) equation, originating from seismic sea waves, and the Kudryashov-Sinelshchikov (KS) equation. The solitons emerge naturally during the derivation process, and their existence is scrutinized using the ansatz approach. The findings reveal the presence of non-topological (bright), topological (dark) solitons, and rogue wave (singular) solitons, presenting significant applications in applied research and engineering. Additionally, two-dimensional and three-dimensional revolution plots are employed with varying parameter values to scrutinize the physical characteristics of these solitons.</p>
</abstract>

This study delves into the exploration of three distinct envelope solitons within the nonlinear dispersive modified Benjamin Bona Mahony (NDMBBM) equation, originating from seismic sea waves, and the Kudryashov-Sinelshchikov (KS) equation. The solitons emerge naturally during the derivation process, and their existence is scrutinized using the ansatz approach. The findings reveal the presence of non-topological (bright), topological (dark) solitons, and rogue wave (singular) solitons, presenting significant applications in applied research and engineering. Additionally, two-dimensional and three-dimensional revolution plots are employed with varying parameter values to scrutinize the physical characteristics of these solitons.

Dispersive modified Benjamin-Bona-Mahony and Kudryashov-Sinelshchikov equations: non-topological, topological, and rogue wave solitons

College of Electrical and Mechanical Engineering

National University of Sciences and Technology

Abdus Salam School of Mathematical Sciences

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

This study delves into the exploration of three distinct envelope solitons within the nonlinear dispersive modified Benjamin Bona Mahony (NDMBBM) equation,...

Dispersive modified Benjamin-Bona-Mahony and Kudryashov-Sinelshchikov equations: non-topological, topological, and rogue wave solitons

Article Category: Original Study

Published Online: Jun 02, 2024

Page range: -

Received: Aug 18, 2023

Accepted: Jan 01, 2024

DOI: https://doi.org/10.2478/ijmce-2025-0003

Keywords
Nonlinear dispersive modified Benjamin-Bona-Mahony equation, KS equation, non-topological solitons, rogue waves, topological solitons

© 2025 Muhammad Usman et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Dispersive modified Benjamin-Bona-Mahony and Kudryashov-Sinelshchikov equations: non-topological, topological, and rogue wave solitons

Article Category: Original Study

Published Online: Jun 02, 2024

Page range: -

Received: Aug 18, 2023

Accepted: Jan 01, 2024

DOI: https://doi.org/10.2478/ijmce-2025-0003

KeywordsNonlinear dispersive modified Benjamin-Bona-Mahony equation, KS equation, non-topological solitons, rogue waves, topological solitons

© 2025 Muhammad Usman et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Nonlinear dispersive modified Benjamin-Bona-Mahony equation, KS equation, non-topological solitons, rogue waves, topological solitons