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Solutions to the complex shifted reverse space-time modified Korteweg-de Vries equation.

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Název: Solutions to the complex shifted reverse space-time modified Korteweg-de Vries equation.
Autoři: Wu, Lifei1 (AUTHOR), Zhang, Yi1 (AUTHOR) zy2836@163.com
Zdroj: Physics Letters A. Feb2023, Vol. 460, pN.PAG-N.PAG. 1p.
Témata: *KORTEWEG-de Vries equation, *SEPARATION of variables, *SPACETIME, *DARBOUX transformations, *ROGUE waves, *SOLITONS
Abstrakt: According to the new nonlocal integrable reduction proposed by Ablowitz and Musslimani, we study the complex shifted reverse space-time modified Korteweg-de Vries equation. The soliton, the kink-type breather and higher-order rogue waves solutions are constructed by using the Darboux transformation method. The effects of the spectral parameter and space-time shift parameters on the solution are discussed respectively, and the dynamic behavior of them is described from the expression and image of the solution. In addition, by comparing with the standard PT symmetry, we discuss the new structure of different solutions due to the space-time shift parameters. • The nonlocal integrable symmetry reduction involved in the manuscript is the latest. • Solving by Darboux Transformation Method and Variable Separation Technique. • Solutions obtained in this manuscript have many novelties compared with the standard PT symmetry. • Space-time shift parameters have great influence on the dynamic behavior of solutions. [ABSTRACT FROM AUTHOR]
Databáze: Academic Search Index
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Abstrakt:According to the new nonlocal integrable reduction proposed by Ablowitz and Musslimani, we study the complex shifted reverse space-time modified Korteweg-de Vries equation. The soliton, the kink-type breather and higher-order rogue waves solutions are constructed by using the Darboux transformation method. The effects of the spectral parameter and space-time shift parameters on the solution are discussed respectively, and the dynamic behavior of them is described from the expression and image of the solution. In addition, by comparing with the standard PT symmetry, we discuss the new structure of different solutions due to the space-time shift parameters. • The nonlocal integrable symmetry reduction involved in the manuscript is the latest. • Solving by Darboux Transformation Method and Variable Separation Technique. • Solutions obtained in this manuscript have many novelties compared with the standard PT symmetry. • Space-time shift parameters have great influence on the dynamic behavior of solutions. [ABSTRACT FROM AUTHOR]
ISSN:03759601
DOI:10.1016/j.physleta.2022.128616