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<p>The main goal of this study is to investigate the Nurshuak-Tolkynay-Myrzakulov-IIC system, a nonlinear dispersive wave equation that is important in multi-dimensional physical systems, such as spin chain dynamics. The Nurshuak-Tolkynay-Myrzakulov-IIC system is firstly reduced to ordinary differential system (ODS) via a traveling wave transformation. In order to develop a Hamiltonian function, Galilean transformation is utilized to construct a first order dynamical system. Furthermore, the sensitivity analysis ensures the dependence of the system on the initial conditions or involved parameters. Moreover, this study uses an analytical technique namely Riccati-Bernoulli sub-ODE method to examine the behavior of the Nurshuak-Tolkynay-Myrzakulov-IIC system. Prior to this research work, there was no existing study in which such kind of dynamical properties and analytical soliton solutions were discussed. The analytical scheme is utilized to solve this model and investigate the novel solitary waves profiles. A broad spectrum of novel solitons, including rational, hyperbolic and trigonometric solutions, was developed to fill a gap in the literature. The dynamical propagation is depicted by using the software <Emphasis FontCategory="NonProportional">Mathematica</Emphasis> in 2D, contour and 3D along with suitable numeric values of parameters.</p>

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The soliton structures, Hamiltonian dynamics and sensitivity analysis for energy exchanging wave systems

  • 期刊论文

  • 发表日期：

    2026年7月8日

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  • Rawya Al-Deiakeh,
  • Waqas Ali Faridi

摘要

The main goal of this study is to investigate the Nurshuak-Tolkynay-Myrzakulov-IIC system, a nonlinear dispersive wave equation that is important in multi-dimensional physical systems, such as spin chain dynamics. The Nurshuak-Tolkynay-Myrzakulov-IIC system is firstly reduced to ordinary differential system (ODS) via a traveling wave transformation. In order to develop a Hamiltonian function, Galilean transformation is utilized to construct a first order dynamical system. Furthermore, the sensitivity analysis ensures the dependence of the system on the initial conditions or involved parameters. Moreover, this study uses an analytical technique namely Riccati-Bernoulli sub-ODE method to examine the behavior of the Nurshuak-Tolkynay-Myrzakulov-IIC system. Prior to this research work, there was no existing study in which such kind of dynamical properties and analytical soliton solutions were discussed. The analytical scheme is utilized to solve this model and investigate the novel solitary waves profiles. A broad spectrum of novel solitons, including rational, hyperbolic and trigonometric solutions, was developed to fill a gap in the literature. The dynamical propagation is depicted by using the software Mathematica in 2D, contour and 3D along with suitable numeric values of parameters.