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Cauchy matrix approach to novel extended semidiscrete KP-type systems.

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Title: Cauchy matrix approach to novel extended semidiscrete KP-type systems.
Authors: Tian, Hong-juan1,2,3 (AUTHOR), Silem, A.4 (AUTHOR) silem.a@zjut.edu.cn
Source: Theoretical & Mathematical Physics. Nov2024, Vol. 221 Issue 2, p1929-1939. 11p.
Subjects: Matrix functions, Plane wavefronts, Wave functions, Eigenfunctions
Abstract: Two novel extended semidiscrete KP-type systems, namely, partial differential–difference systems with one continuous and two discrete variables, are investigated. Introducing an arbitrary function into the Cauchy matrix function or the plane wave factor allows implementing extended integrable systems within the Cauchy matrix approach. We introduce the bilinear KP system, the extended pKP, pmKP, and SKP systems, all of which are based on the Cauchy matrix approach. This results in a diversity of solutions for these extended systems as contrasted to the usual multiple soliton solutions. [ABSTRACT FROM AUTHOR]
Copyright of Theoretical & Mathematical Physics is the property of Springer Nature 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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  Data: Cauchy matrix approach to novel extended semidiscrete KP-type systems.
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  Data: <searchLink fieldCode="AR" term="%22Tian%2C+Hong-juan%22">Tian, Hong-juan</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Silem%2C+A%2E%22">Silem, A.</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> silem.a@zjut.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Theoretical+%26+Mathematical+Physics%22">Theoretical & Mathematical Physics</searchLink>. Nov2024, Vol. 221 Issue 2, p1929-1939. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Matrix+functions%22">Matrix functions</searchLink><br /><searchLink fieldCode="DE" term="%22Plane+wavefronts%22">Plane wavefronts</searchLink><br /><searchLink fieldCode="DE" term="%22Wave+functions%22">Wave functions</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenfunctions%22">Eigenfunctions</searchLink>
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  Data: Two novel extended semidiscrete KP-type systems, namely, partial differential–difference systems with one continuous and two discrete variables, are investigated. Introducing an arbitrary function into the Cauchy matrix function or the plane wave factor allows implementing extended integrable systems within the Cauchy matrix approach. We introduce the bilinear KP system, the extended pKP, pmKP, and SKP systems, all of which are based on the Cauchy matrix approach. This results in a diversity of solutions for these extended systems as contrasted to the usual multiple soliton solutions. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Theoretical & Mathematical Physics is the property of Springer Nature 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: 10.1134/S0040577924110096
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      – Code: eng
        Text: English
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        PageCount: 11
        StartPage: 1929
    Subjects:
      – SubjectFull: Matrix functions
        Type: general
      – SubjectFull: Plane wavefronts
        Type: general
      – SubjectFull: Wave functions
        Type: general
      – SubjectFull: Eigenfunctions
        Type: general
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      – TitleFull: Cauchy matrix approach to novel extended semidiscrete KP-type systems.
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            NameFull: Tian, Hong-juan
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            NameFull: Silem, A.
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            – D: 01
              M: 11
              Text: Nov2024
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              Y: 2024
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