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October 23, 2025Scientific ReportsOpen Access

Exploring the exact solutions to the nonlinear systems with neural networks method

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Authors

JMJan MuhammadATAli H. TedjaniEHEjaz Hussain

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Overview

This analysis reveals nonlinear dynamic characteristics in cancer, brain function, and wound healing modeling, suggesting neural networks enhance solution methods.

Key Points

  • Exact solutions for nonlinear partial differential equations improve understanding of cancer and brain function,
  • Demonstrated dynamic properties of various solutions help clarify nonlinear behaviors in tissue regeneration.
  • Application of Riccati subequation neural networks provides a novel framework for approaching complex biological equations.
  • The findings highlight the effectiveness of integrating graphical illustrations to support the mathematical foundation.

Cite This Study

Muhammad et al. (2025) studied this question.

synapsesocial.com/papers/68fa32a40df2e6cd2f742291https://doi.org/10.1038/s41598-025-21095-2
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