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Localized coherent structures based on variable separation solution of the (2+1)-dimensional Boiti–Leon–Pempinelli equation

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Abstract

A new mapping equation (coupled Riccati equations) method is used to obtain three kinds of variable separation solutions with two arbitrary functions of the (2+1)-dimensional Boiti–Leon–Pempinelli equation. Based on the variable separation solution and by selecting appropriate functions, two type of multidromion excitations, that is, dromion lattice and multidromion solitoffs, are investigated. Moreover, we can discuss head-on collision and “chase and collision” phenomena between two multidromions.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11005092), the Program for Innovative Research Team of Young Teachers in Zhejiang A&F University (Grant No. 2009RC01), and the Scientific Research and Developed Fund of Zhejiang A&F University (Grant No. 2009FK42).

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  1. School of Sciences, Zhejiang Agriculture and Forestry University, Lin’an, Zhejiang, 311300, P.R. China

    Chao-Qing Dai & Yue-Yue Wang

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

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Dai, CQ., Wang, YY. Localized coherent structures based on variable separation solution of the (2+1)-dimensional Boiti–Leon–Pempinelli equation. Nonlinear Dyn 70, 189–196 (2012). https://doi.org/10.1007/s11071-012-0441-z

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