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Binary Darboux transformation for general matrix mKdV equations and reduced counterparts

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  • Ma, Wen-Xiu

Abstract

Based on Lax pairs and adjoint Lax pairs, a Darboux transformation is constructed for a class of general matrix mKdV equations and a kind of symmetric integrable reductions of the general case is analyzed. A fundamental step is to formulate a new type of Darboux matrices, in which eigenvalues could be equal to adjoint eigenvalues. From the zero seed solution, the resulting binary Darboux transformation is used to generate soliton solutions for the general matrix mKdV equations and the corresponding reduced counterparts.

Suggested Citation

  • Ma, Wen-Xiu, 2021. "Binary Darboux transformation for general matrix mKdV equations and reduced counterparts," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    • Handle: RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921001764
    DOI: 10.1016/j.chaos.2021.110824
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    Cited by:

    1. Ma, Wen-Xiu, 2024. "Binary Darboux transformation of vector nonlocal reverse-time integrable NLS equations," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. Sun, Ying-ying & Sun, Wan-yi, 2022. "An update of a Bäcklund transformation and its applications to the Boussinesq system," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    3. Wu, Jianping, 2022. "Wronskian and Grammian conditions, and Pfaffianization of an extended (3+1)-dimensional Jimbo–Miwa equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 446-454.

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