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Restudy of Structures and Interactions of Solitons in (2+1)-Dimensional Nizhnik-Novikov-Veselov Equations 被引量:1

Restudy of Structures and Interactions of Solitons in (2+1)-Dimensional Nizhnik-Novikov-Veselov Equations
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摘要 Some new structures and interactions of solitons for the (2+1)-dimensional Nizhnik-Novikov-Veselov equation are revealed with the help of the idea of the bilinear method and variable separation approach. The solutions to describe the interactions between two dromions, between a line soliton and a y-periodic soliton, and between two y-periodic solitons are included in our results. Detailed behaviors of interaction are illustrated both analytically and in graphically. Our analysis shows that the interaction properties between two solitons are related to the form of interaction constant. The form of interaction constant and the dispersion relationship are related to the form of the seed solution (u0, v0, w0 ) in Backlund transformation.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第1期1-8,共8页 理论物理通讯(英文版)
基金 The project supported by the State Key Laboratory of 0il/Gas Reservoir Geology and Exploitation "PLN0402" The authors would like to thank Prof.Sen-Yue Lou for helpful discussions.
关键词 interaction between two solitons bilinear approach seed solution NNV equation 二维Nizhnik-Novikov-Veselov方程 孤立子 交互作用 双线性法
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