(2+1)维KdV系统的非局域对称和多孤子解

Nonlocal Symmetries and Multiple Solitons Solutions for the(2+1)-dimensional KdV System

从已知的Lax对出发,得到用谱函数表示的(2+1)维Kd V系统的非局域对称。通过引入合适的变量,在将这一非局域对称局域到李点对称的过程中,获得(2+1)维Kd V系统的多次有限变换和多孤子解。

From the known Lax pair of the(2+1)-dimensional KdV system,the nonlocal symmetry in form of spectral function is derived.By introducing suitable auxiliary dependent variables,the nonlocal symmetries can be localized to the Lie point symmetries,and finite transformation and multiple solitons solutions are obtained.