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November 14, 2025SymmetryOpen Access

A Modified Analytical Data-Mapping Framework for Symmetric Multiscale Soliton and Chaotic Dynamics

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Authors

SKSyeda Sarwat KazmiMRMuhammad Bilal RiazFDFaisal Z. Duraihem

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Overview

Analysis reveals chaotic dynamics using phase portraits and Lyapunov exponents, suggesting deeper insights into wave behavior.

Key Points

  • Chaotic dynamics confirmed through various diagnostic tools in the KdV–Calogero–Bogoyavlenskii–Schiff equation.
  • Key techniques include phase portraits and Lyapunov exponents to analyze wave behaviors.
  • Modified analytical data-mapping framework to understand nonlinear wave dynamics in applied mathematics.
  • New methods may enhance the analysis and implications of chaotic behaviors in mathematical models.

Cite This Study

Kazmi et al. (2025) studied this question.

synapsesocial.com/papers/692519acc0ce034ddc3542a3https://doi.org/10.3390/sym17111963
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