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Nonlinear Dynamics

, Volume 70, Issue 1, pp 189–196 | Cite as

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

  • Chao-Qing Dai
  • Yue-Yue Wang
Original Paper

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.

Keywords

Coupled Riccati equations method Boiti–Leon–Pempinelli equation Variable separation solutions Multidromions 

Notes

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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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.School of SciencesZhejiang Agriculture and Forestry UniversityLin’anP.R. China

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