Novel Precise Solitary Wave Solutions of Two Time Fractional Nonlinear Evolution Models via the MSE Scheme

Zillur Rahman, Alrazi Abdeljabbar, Harun-Or-Roshid, M. Zulfikar Ali

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We construct soliton solutions of the complex time fractional Schrodinger model (tFSM), as well as the space–time fractional differential model (stFDM), leading wave spread through electrical transmission lines model (ETLM) in low pass with the help of modified simple equation scheme. The approach provides us with generalized rational exponential function solutions with some free parameters. A few well-known solitary wave resolutions are derived, starting from the generalized rational solutions selecting specific values of the free constants. The precise solutions acquired via the technique signify that the scheme is comparatively easier to execute and attractive in view of the results. No auxiliary equation is needed to solve any nonlinear fractional models by the scheme. Additionally, we observed that the numerical results are very encouraging for researchers conducting further research on stFDMs in mathematics and physics.

Original languageBritish English
Article number444
JournalFractal and Fractional
Volume6
Issue number8
DOIs
StatePublished - Aug 2022

Keywords

  • exact solitary wave
  • modified simple equation scheme
  • the complex time fractional Schrodinger model
  • the electrical transmission lines model

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