Applications of linear superposition principle to resonant solitons and complexitons
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Zhou, Yuan
Ma, Wen-Xiu
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Elsevier
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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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Zhou, Y. & Ma, W. 2017. Applications of linear superposition principle to resonant solitons and complexitons. Computers and Mathematics with Applications, 73:1697-1706. [https://doi.org/10.1016/j.camwa.2017.02.015]