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July 11, 2026Scientific ReportsOpen Access

Revealing hidden nonlinear soliton dynamics, multistable regimes, and chaotic transitions in regularized long-wave equations under complex external forcing

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Authors

MRMuhammad Bilal RiazMIMuhammad IqbalMRMuhammad Aziz ur Rehman

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Overview

Randomized trial investigates soliton dynamics under external forcing, suggesting significant chaotic behavior changes.

Key Points

  • This work aims to explore the dynamics of solitons and chaotic transitions in nonlinear wave equations influenced by external forcing.
  • Utilized the modified Khater method and Sardar subequation technique for constructing exact solutions.
  • Conducted qualitative analysis with phase-portrait investigation and computed Lyapunov exponents.
  • Performed numerical simulations using the fourth-order Runge-Kutta algorithm for high-precision results.
  • Identified multiple soliton profiles with distinct propagation characteristics.
  • Demonstrated the emergence of chaotic motion under periodic external forcing with confirmed sensitive dependence on initial conditions.
  • Revealed substantial transitions between stable and unstable regimes through multistability analysis.

Cite This Study

Riaz et al. (2026) studied this question.

synapsesocial.com/papers/6a51dc79c18d7f28ca4ffc74https://doi.org/10.1038/s41598-026-58399-w
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