Complexiton solutions to soliton equations by the Hirota method

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...

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Bibliographic Details
Published in:Journal of mathematical physics 2017-10, Vol.58 (10), p.1
Main Authors: Zhou, Yuan, Ma, Wen-Xiu
Format: Article
Language:English
Subjects:
Korteweg-Devries equation
Mathematics
Physics
Solitary waves
Theory
Variables
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Summary: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4996358