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

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-...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 45; no. 1; pp. 1 - 8
Main Author RUAN Hang-Yu CHEN Yi-Xin
Format Journal Article
LanguageEnglish
Published 2006
Subjects
二维Nizhnik-Novikov-Veselov方程
交互作用
双线性法
孤立子
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Summary: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.
Bibliography:interaction between two solitons, bilinear approach, seed solution, NNV equation
11-2592/O3
O41
O175.2
ISSN:0253-6102