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Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation - MaRDI portal

Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation (Q2060907)

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scientific article; zbMATH DE number 7443290
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English
Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation
scientific article; zbMATH DE number 7443290

    Statements

    Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation (English)
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    13 December 2021
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    In this work, the authors are studying nonlocal residual symmetry and exact interaction solutions of the extended (2+1)-dimensional KdV equation by using Painlevé expansion. Based on the constructed structure the exact solutions such as single soliton, resonant two-soliton, and interaction solutions are received. In the reviewer's opinion, the work is highly relevant and very actual in this field.
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    Bäcklund transformation
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    interaction solution
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    nonlocal residual symmetry
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    extended \((2+1)\)-dimensional KdV equation
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    consistent tanh expansion method
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