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Ensieh Hakimi1, Kurosh Javidan

  • 1Department of Physics, Ferdowsi University of Mashhad, 91775-1436 Mashhad, Iran. en_ha92@stumail.um.ac.ir

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This study introduces a novel soliton-potential scattering model using improved approximations for background spacetime metrics. The findings offer new insights into soliton dynamics and potential interactions.

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Area of Science:

  • Theoretical Physics
  • Mathematical Physics

Background:

  • Soliton-potential scattering is crucial for understanding nonlinear phenomena.
  • Existing models often lack precise methods for incorporating potentials into Lagrangians.

Purpose of the Study:

  • To present a new model for soliton-potential scattering.
  • To improve the approximation of potential addition to the Lagrangian using background spacetime metrics.

Main Methods:

  • Developed a theoretical model for soliton-potential scattering.
  • Employed a refined approach to integrate potential terms via spacetime metric.
  • Compared model outcomes with existing theoretical frameworks.

Main Results:

  • The proposed model offers a more accurate representation of soliton-potential interactions.
  • Identified key differences compared to previous scattering models.
  • Quantified the impact of improved approximations on scattering dynamics.

Conclusions:

  • The new model provides a more robust framework for studying soliton scattering.
  • The improved method for adding potentials enhances predictive accuracy.
  • Further research can explore applications in various nonlinear systems.