Comment on “Analysing of different wave structures to the dissipative NLS equation and modulation instability”

Last December 27th, 2023, Ebru Cavlak Aslan et al. have published the article in the Journal “Optical and Quantum Electronics” the article titled “Analysing of different wave structures to the dissipative NLS equation and modulation instability” (Opt Quantum Electron 56:254, 2024. https://doi.org/10...

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description Last December 27th, 2023, Ebru Cavlak Aslan et al. have published the article in the Journal “Optical and Quantum Electronics” the article titled “Analysing of different wave structures to the dissipative NLS equation and modulation instability” (Opt Quantum Electron 56:254, 2024. https://doi.org/10.1007/s11082-023-06035-6 ) where they tried to present analytical solutions of a dissipative nonlinear Schrödinger equation and study the modulational instability of the continuous wave solution of that equation. After analyzing their results, we found a number of shortcomings about both the modulational instability study and the analytical solutions. For analytical solutions, we found that all their found exact solutions were about the standard nonlinear Schrödinger equation and may contain errors/mistakes since at least one of their found dark soliton solutions was done in the region of modulational instability of the standard nonlinear Schrödinger equation. We also found that all their results about the modulational instability were  obtained on an erroneous plane wave solution of their model equation, leading thus to obsolete results. It is the aim of the present comment to correct all shortcomings found in that study on the modulational instability.
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After analyzing their results, we found a number of shortcomings about both the modulational instability study and the analytical solutions. For analytical solutions, we found that all their found exact solutions were about the standard nonlinear Schrödinger equation and may contain errors/mistakes since at least one of their found dark soliton solutions was done in the region of modulational instability of the standard nonlinear Schrödinger equation. We also found that all their results about the modulational instability were  obtained on an erroneous plane wave solution of their model equation, leading thus to obsolete results. 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After analyzing their results, we found a number of shortcomings about both the modulational instability study and the analytical solutions. For analytical solutions, we found that all their found exact solutions were about the standard nonlinear Schrödinger equation and may contain errors/mistakes since at least one of their found dark soliton solutions was done in the region of modulational instability of the standard nonlinear Schrödinger equation. We also found that all their results about the modulational instability were  obtained on an erroneous plane wave solution of their model equation, leading thus to obsolete results. 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After analyzing their results, we found a number of shortcomings about both the modulational instability study and the analytical solutions. For analytical solutions, we found that all their found exact solutions were about the standard nonlinear Schrödinger equation and may contain errors/mistakes since at least one of their found dark soliton solutions was done in the region of modulational instability of the standard nonlinear Schrödinger equation. We also found that all their results about the modulational instability were  obtained on an erroneous plane wave solution of their model equation, leading thus to obsolete results. It is the aim of the present comment to correct all shortcomings found in that study on the modulational instability.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11082-024-07071-6</doi></addata></record>
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subjects Characterization and Evaluation of Materials
Computer Communication Networks
Continuous radiation
Dissipation
Electrical Engineering
Exact solutions
Lasers
Modulation
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Plane waves
Quantum electronics
Schrodinger equation
Solitary waves
Structural stability
title Comment on “Analysing of different wave structures to the dissipative NLS equation and modulation instability”
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