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April 1, 2026FractalsOpen Access

Unveiling Soliton Dynamics in Nonlinear Spatiotemporal Fractional Quantum Mechanics Equation an Analytical Exploration Using an Innovative Technique

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Authors

MBMuhammad BilalJIJaved IqbalIUIkram Ullah

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Overview

Analytical exploration demonstrates multiple soliton solutions in nonlinear fractional quantum systems, suggesting new insights into quantum mechanics.

Key Points

  • This research aims to understand soliton dynamics in nonlinear fractional quantum mechanics equations using analytical techniques.
  • Employs Caputo fractional derivatives to formulate fractional Schrödinger equations (FSEs)
  • Applies a wave transformation to reduce FSEs to nonlinear ordinary differential equations (NODEs)
  • Uses a series solution ansatz to convert NODEs into nonlinear algebraic equations
  • Solves the algebraic system using Maple and visualizes solutions in 2D and 3D
  • Obtains multiple families of soliton solutions for the nonlinear fractional system
  • Visualizes solutions revealing kink, damped, and periodic wave profiles
  • Demonstrates the precision and efficacy of the innovative approach in understanding soliton phenomena

Cite This Study

Bilal et al. (2026) studied this question.

synapsesocial.com/papers/69ccb7b016edfba7beb89c3bhttps://doi.org/10.1142/s0218348x26400463
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