Exact solutions of the (3+1)-dimensional Khokhlov–Zabolotskaya–Kuznetsov equation via the modified sub-equation method.

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Title: Exact solutions of the (3+1)-dimensional Khokhlov–Zabolotskaya–Kuznetsov equation via the modified sub-equation method.
Authors: Durur, Hülya1 (AUTHOR) hulyadurur@ardahan.edu.tr
Source: Modern Physics Letters B. 5/20/2025, Vol. 39 Issue 14, p1-8. 8p.
Subjects: Dispersive interactions, Nonlinear waves, Theory of wave motion, Wave equation, Computer software
Abstract: In this work, exact solutions of the (3+1) dimensional Khokhlov–Zabolotskaya–Kuznetsov (KZK) equation have been produced by applying the modified sub-equation method, which is reliable and effective among analytical methods. This equation is a wavelet equation that describes non-linear and dispersive wave propagation. The aim of considering this model is to model non-linear and dispersive interactions in an environment and enable their analysis by analytical methods. By applying this method, different wave solution classes in hyperbolic and rational forms are obtained. The graphs of solitary waves produced are in 2D, 3D and contour types. In this study, computer package programs have been used for complex operations and drawing graphics. [ABSTRACT FROM AUTHOR]
Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company 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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  Label: Title
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  Data: Exact solutions of the (3+1)-dimensional Khokhlov–Zabolotskaya–Kuznetsov equation via the modified sub-equation method.
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  Data: <searchLink fieldCode="AR" term="%22Durur%2C+Hülya%22">Durur, Hülya</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hulyadurur@ardahan.edu.tr</i>
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  Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+B%22">Modern Physics Letters B</searchLink>. 5/20/2025, Vol. 39 Issue 14, p1-8. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Dispersive+interactions%22">Dispersive interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+waves%22">Nonlinear waves</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Wave+equation%22">Wave equation</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+software%22">Computer software</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this work, exact solutions of the (3+1) dimensional Khokhlov–Zabolotskaya–Kuznetsov (KZK) equation have been produced by applying the modified sub-equation method, which is reliable and effective among analytical methods. This equation is a wavelet equation that describes non-linear and dispersive wave propagation. The aim of considering this model is to model non-linear and dispersive interactions in an environment and enable their analysis by analytical methods. By applying this method, different wave solution classes in hyperbolic and rational forms are obtained. The graphs of solitary waves produced are in 2D, 3D and contour types. In this study, computer package programs have been used for complex operations and drawing graphics. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company 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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        Value: 10.1142/S021798492450502X
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      – Code: eng
        Text: English
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    Subjects:
      – SubjectFull: Dispersive interactions
        Type: general
      – SubjectFull: Nonlinear waves
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Wave equation
        Type: general
      – SubjectFull: Computer software
        Type: general
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      – TitleFull: Exact solutions of the (3+1)-dimensional Khokhlov–Zabolotskaya–Kuznetsov equation via the modified sub-equation method.
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            – D: 20
              M: 05
              Text: 5/20/2025
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              Y: 2025
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              Value: 14
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