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Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation

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  • Qiulan Zhao
  • Qianqian Yang
  • Xiangwen Qu

Abstract

A semidiscrete integrable coupled system is obtained by embedding a free function into the discrete zero-curvature equation. Then, explicit solutions of the first two nontrivial equations in this system are derived directly by the Darboux transformation method. Finally, in order to compare the solutions before and after coupling intuitively, their structure figures are presented and analyzed.

Suggested Citation

  • Qiulan Zhao & Qianqian Yang & Xiangwen Qu, 2021. "Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-10, December.
    • Handle: RePEc:hin:jnlamp:9964540
    DOI: 10.1155/2021/9964540
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