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June 28, 2026Scientific ReportsOpen Access

Bifurcation, quasi-periodic dynamics, chaos, and soliton waves in the van der Waals normal form for fluidized granular matter

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Authors

MAM.R. AlamMHMuhammad Ziaul HaqueSAShams Forruque Ahmed

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Overview

The study demonstrates chaotic dynamics and soliton waves in fluidized granular media, suggesting new approaches to understanding their behavior.

Key Points

  • The aim is to investigate wave dynamics in fluidized granular systems using the van der Waals normal form.
  • Developed unified travelling-wave solutions using Bernoulli-type and Riccati-type auxiliary equations.
  • Analyzed stability, bifurcations, and chaotic behaviors through 2D/3D phase portraits and Poincaré diagnostics.
  • Compared multiple ansatz schemes within a Bernoulli–Riccati framework for a systematic approach.
  • Demonstrated symmetry-driven pitchfork bifurcations and dissipation-driven transitions in the system.
  • Identified a range of dynamics including periodic, quasi-periodic, and chaotic behaviors through equilibrium analysis.
  • Provided analytical wave solutions that serve as benchmarks for numerical studies of density wave propagation.

Cite This Study

Alam et al. (2026) studied this question.

synapsesocial.com/papers/6a40b99561bb0a67205c5b5dhttps://doi.org/10.1038/s41598-026-59237-9
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