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February 12, 2026Modern Physics Letters B

Soliton Dynamics and Overlapping Phenomena of a Nonlinear Fractional Pseudo-Parabolic Model in Fluids with Stability Analysis

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Authors

MHMohammad Mobarak HossainMAMd. Ruhul AminSASushika Akter

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Overview

Investigation reveals soliton dynamics and stability in a nonlinear fluid model, suggesting new analytical solutions.

Key Points

  • The aim is to explore the soliton dynamics and stability of the nonlinear fractional pseudo-parabolic model.
  • Analysis of soliton solutions using the time-fractional Oskolkov model.
  • Application of exp(-𝜑(𝜉))-expansion and improved Kudryashov’s schemes for solution formulation.
  • Examination of solutions in various functional forms including exponential and trigonometric.
  • Visualization of wave dynamics using 3-D, 2-D, and density plots.
  • Achieved innovative solutions including singular, bright, dark bell, kink, and anti-kink shapes.
  • Demonstrated properties of exact solutions through detailed graphical representation.
  • Conducted a linear stability analysis to ascertain the model's behavior.

Cite This Study

Hossain et al. (2026) studied this question.

synapsesocial.com/papers/698d6de45be6419ac0d531afhttps://doi.org/10.1142/s0217984926500715
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