Complexiton solutions to soliton equations by the Hirota method

Journal of Mathematical Physics - Tập 58 Số 10 - 2017
Yuan Zhou1, Wen‐Xiu Ma1
1Department of Mathematics and Statistics, University of South Florida , Tampa, Florida 33620-5700, USA

Tóm tắt

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.

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