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This is a Quantitative Study study.

September 18, 2025Open PhysicsOpen Access

Soliton-like solutions for a nonlinear doubly dispersive equation in an elastic Murnaghan's rod via Hirota's bilinear method

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This work demonstrates various soliton wave solutions in an elastic Murnaghan's rod, suggesting insights into chaotic wave movement.

Various solitary wave solutions were derived using Hirota's bilinear method, enhancing understanding of chaotic dynamics.
The study reveals multiple waves and dark solitons through numerical simulations using Mathematica software for graphical depiction.
Hirota's bilinear transformation was employed in this nonlinear framework to explore wave behaviors in the elastic Murnaghan's rod.
The findings support further exploration of chaotic wave movement in elastic materials under governed nonlinear equations.

Ceesay et al. (2025) studied this question.

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