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Elastic interactions between multi-valued foldons and anti-foldons for the (2+1)-dimensional variable coefficient Broer–Kaup system in water waves

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Abstract

With the help of the improved tanh-function method, some exact variable separation solutions for a (2+1)-dimensional variable coefficient Broer–Kaup system in water waves are found. The detailed investigation indicates that these seemly independent variable separation solutions actually depend on each other. Based on the exact variable separation solution, completely and noncompletely elastic interactions between multi-valued foldons and anti-foldons are studied analytically and graphically.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 11005092, the Zhejiang Provincial Natural Science Foundation of China under Grant No. LY13F050006, and the Scientific Research Fund of Zhejiang Provincial Education Department under Grant No. Y201225803.

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  1. School of Sciences, Zhejiang A&F University, Lin’an, Zhejiang, 311300, P.R. China

    Yue-Yue Wang & Chao-Qing Dai

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  1. Yue-Yue Wang
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  2. Chao-Qing Dai
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Correspondence to Yue-Yue Wang.

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Wang, YY., Dai, CQ. Elastic interactions between multi-valued foldons and anti-foldons for the (2+1)-dimensional variable coefficient Broer–Kaup system in water waves. Nonlinear Dyn 74, 429–438 (2013). https://doi.org/10.1007/s11071-013-0980-y

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  • DOI: https://doi.org/10.1007/s11071-013-0980-y

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