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Applications of linear superposition principle to resonant solitons and complexitons
Journal article   Open access  Peer reviewed

Applications of linear superposition principle to resonant solitons and complexitons

Yuan Zhou and Wen-Xiu Ma
Computers & mathematics with applications (1987), Vol.73(8), pp.1697-1706
15/04/2017
DOI: https://doi.org/10.1016/j.camwa.2017.02.015

Abstract

Bilinear derivative Bilinear equations Complexiton Linear superposition principle Soliton
We apply the linear superposition principle to Hirota bilinear equations and generalized bilinear equations. By extending the linear superposition principle to complex field, we construct complex exponential wave function solutions first and then get complexions by taking pairs of conjugate parameters. A few examples of mixed resonant solitons and complexitons to Hirota and generalized bilinear differential equations are presented.
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https://doi.org/10.1016/j.camwa.2017.02.015View
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