Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation | Zendy

Qiulan Zhao | Zendy; Qianqian Yang | Zendy; Xiangwen Qu | Zendy

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Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation

Author(s) -

Qiulan Zhao,

Qianqian Yang,

Xiangwen Qu

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/9964540

Subject(s) - integrable system , embedding , curvature , transformation (genetics) , mathematics , coupling (piping) , mathematical analysis , function (biology) , order (exchange) , pure mathematics , computer science , geometry , mechanical engineering , biochemistry , chemistry , finance , artificial intelligence , evolutionary biology , biology , engineering , economics , gene

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.

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