Research Paper: Soliton Solution of Nonlinear Schrodinger Equation in the Presence of a Minimal Observable Length

Document Type : Research Paper

Author

Assistant Professor, Department of Physics, Faculty of science, Salman Farsi University of Kazerun, Kazerun, Fars, Iran

Abstract

The unification between the theory of general relativity and the standard model of particle physics predicts the existence of a minimal measurable length on the order of the Planck length. Nowadays phenomenological studies of field theory in the presence of a minimal observable distance are extensively performed. The existence of a minimal measurable length leads to the generalized uncertainty principle (GUP). In this work, we obtain at first the angular wave frequency in the presence of a minimal observable length by considering the generalized uncertainty principle. Then, by expanding the generalized angular wave frequency, the nonlinear Schrodinger equation is found. Also, the soliton solution of the generalized nonlinear Schrodinger equation is obtained. In the limit, the soliton solution in generalized space becomes the same as usual soliton solution. The value of minimalobservable length is considered about.

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References

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History

  • Receive Date: 08 March 2021
  • Revise Date: 11 June 2021
  • Accept Date: 12 August 2021

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