Article detail · 2021
On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation
- Year
- 2021
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Journal of Difference Equations and Applications
- Catalog match (ISSN) Journal of Difference Equations and Applications
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
In this article, the Nonlinear Schrödinger (NLS) equation, which is very important in physics, have been discussed. The analytical solution of this equation with the (1/G′)-expansion method and its numerical solutions with the Finite Difference Method have been presented. (1/G′)-expansion method has been successfully applied to NLS equation and different type complex hyperbolic travelling wave solutions have been produced. An initial condition for the NLS equation has been created using this solution. This solution has been used to create the initial condition required for FDM. Truncation Error, Stability analysis and L2 and L∞ norm errors of the numerical results obtained have been examined. Besides, FDM has been successfully applied to NLS equation and numerical solutions have been produced. Besides, both analytical and numerical solutions are supported with graphics and tables. The results obtained by this numerical method have been compared with the exact solution.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
11 citations
OpenAlex cited_by_count (cache / database)
7 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
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- Some efficient schemes of variational iteration method for handling Schrödinger equations in quantum mechanics 2025
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