Localized coherent structures based on variable separation solution of the (2+1)-dimensional Boiti–Leon–Pempinelli equation
- 211 Downloads
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.
KeywordsCoupled Riccati equations method Boiti–Leon–Pempinelli equation Variable separation solutions Multidromions
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).
- 8.Ma, S.H., Zhang, Y.L.: Fractal structures and chaotic behaviors in a (2+1)-dimensional nonlinear system. Commun. Theor. Phys. 57, 1117–1121 (2010) Google Scholar
- 9.Zheng, C.L., Fang, J.P., Chen, L.Q.: New variable separation excitations of a (2+1)-dimensional Broer–Kaup–Kupershmidt system obtained by an extended mapping approach. Z. Naturforsch. A 59, 912–918 (2004) Google Scholar
- 19.Ma, S.H., Zhang, Y.L.: Fractal structures and chaotic behaviors in a (2+1)-dimensional nonlinear system. Commun. Theor. Phys. 57, 1117–1121 (2010) Google Scholar
- 22.Ma, S.H., Fang, J.P.: New exact solutions and localized excitations in a (2+1)-dimensional soliton system. Z. Naturforsch. A 64, 37–43 (2009) Google Scholar