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Some Explicit Wave Solutions of Nonlinear Evolution Equations.

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Title: Some Explicit Wave Solutions of Nonlinear Evolution Equations.
Authors: VIRDI, JASVINDER SINGH1 jpsvirdi@gmail.com
Source: Nonlinear Optics, Quantum Optics: Concepts in Modern Optics. 2026, Vol. 63 Issue 3/4, p227-242. 16p.
Subjects: Nonlinear evolution equations, Solitons, Series expansion (Mathematics), Data visualization, Korteweg-de Vries equation, Reaction-diffusion equations
Abstract: This article aims to study some explicit solitary wave solutions of some nonlinear physical equations by using an unusual series expansion method. A powerful tool for families of solutions delivers a wide range of precise visualizable solutions with clarity than classical methods. Three nonlinear models of importance i.e. Coupled Nonlinear extension of Reaction Diffusion equation (CNERDE), Coupled KdV-Schrodinger equation (CKdV-SE), and Dodd-Bullough-Mikhailov equation (DBME) were considered. Interesting findouts of NLEEs are categorised a into a families of solutions of different nature. This breakthrough allows us to uncover diverse wave structures including multi solitons, kink & Anti kint. We brought the mathematics with 3D plots and contour maps, showing how different parameters shape these wave patterns using Matlab. [ABSTRACT FROM AUTHOR]
Copyright of Nonlinear Optics, Quantum Optics: Concepts in Modern Optics is the property of Old City Publishing, Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 195538503
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PubType: Academic Journal
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  Data: Some Explicit Wave Solutions of Nonlinear Evolution Equations.
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  Data: <searchLink fieldCode="DE" term="%22Nonlinear+evolution+equations%22">Nonlinear evolution equations</searchLink><br /><searchLink fieldCode="DE" term="%22Solitons%22">Solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Series+expansion+%28Mathematics%29%22">Series expansion (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Data+visualization%22">Data visualization</searchLink><br /><searchLink fieldCode="DE" term="%22Korteweg-de+Vries+equation%22">Korteweg-de Vries equation</searchLink><br /><searchLink fieldCode="DE" term="%22Reaction-diffusion+equations%22">Reaction-diffusion equations</searchLink>
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  Data: This article aims to study some explicit solitary wave solutions of some nonlinear physical equations by using an unusual series expansion method. A powerful tool for families of solutions delivers a wide range of precise visualizable solutions with clarity than classical methods. Three nonlinear models of importance i.e. Coupled Nonlinear extension of Reaction Diffusion equation (CNERDE), Coupled KdV-Schrodinger equation (CKdV-SE), and Dodd-Bullough-Mikhailov equation (DBME) were considered. Interesting findouts of NLEEs are categorised a into a families of solutions of different nature. This breakthrough allows us to uncover diverse wave structures including multi solitons, kink & Anti kint. We brought the mathematics with 3D plots and contour maps, showing how different parameters shape these wave patterns using Matlab. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Nonlinear Optics, Quantum Optics: Concepts in Modern Optics is the property of Old City Publishing, Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 16
        StartPage: 227
    Subjects:
      – SubjectFull: Nonlinear evolution equations
        Type: general
      – SubjectFull: Solitons
        Type: general
      – SubjectFull: Series expansion (Mathematics)
        Type: general
      – SubjectFull: Data visualization
        Type: general
      – SubjectFull: Korteweg-de Vries equation
        Type: general
      – SubjectFull: Reaction-diffusion equations
        Type: general
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      – TitleFull: Some Explicit Wave Solutions of Nonlinear Evolution Equations.
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            NameFull: VIRDI, JASVINDER SINGH
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            – D: 01
              M: 04
              Text: 2026
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              Y: 2026
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              Value: 63
            – Type: issue
              Value: 3/4
          Titles:
            – TitleFull: Nonlinear Optics, Quantum Optics: Concepts in Modern Optics
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