Complexiton Solutions to Soliton Equations by the Hirota Method
Document Type
Article
Publication Date
2017
Digital Object Identifier (DOI)
https://doi.org/10.1063/1.4996358
Abstract
We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to use Hirota bilinear forms. We prove that taking pairs of conjugate wave variables in the 2N-soliton solutions generates N-complexion solutions. The general theory is used to construct multi-complexion solutions to the Korteweg–de Vries equation.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Journal of Mathematical Physics, v. 58, issue 10, art. 101511
Scholar Commons Citation
Zhou, Yuan and Ma, Wen-Xiu, "Complexiton Solutions to Soliton Equations by the Hirota Method" (2017). Mathematics and Statistics Faculty Publications. 152.
https://digitalcommons.usf.edu/mth_facpub/152
