Title

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

Share

COinS