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May 27, 2026Fractal and FractionalOpen Access

Abundant Non-Traveling Fractal Solutions of Dromion Type for the Extended Hirota–Satsuma–Ito Equation

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Authors

MAMohammed AlkinidriSAShami A. M. Alsallami

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Overview

Exploration of fractal solutions in fluid dynamics equations, indicating potential for complex waveforms.

Key Points

  • This research investigates non-traveling fractal solutions for an extended Hirota–Satsuma–Ito equation.
  • Employs a new variable-separation technique to reformulate the governing equation.
  • Uses the modified generalized exponential rational function method (mGERFM) for various exact analytical solutions.
  • Illustrates the solutions with complex temporal and spatial dynamics.
  • Introduces a diverse array of dromion-type solutions with several free functions.
  • Solutions span structural types like periodic, rational, hyperbolic, and hybrid configurations.
  • Demonstrates a novel approach for generating non-traveling waves in higher-dimensional systems.

Cite This Study

Alkinidri et al. (2026) studied this question.

synapsesocial.com/papers/6a168b040c924ddd1bd59d13https://doi.org/10.3390/fractalfract10060356
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