(2+1)维长-短波方程的李代数结构及其可积性

THE LIE ALGEBRAIC STRUCTURES AND THE INTEGRABILITY OF LONG-SHORT WAVES EQUATIONS IN (2+1) DIMENSIONS

延拓方法讨论了 ( 2 + 1 )维长 -短波方程 ( Long-Short Wave Equation)的隐对称结构 ,导出了它的无限维李代数表示及其线性谱表示 ,从而给出它的可积性一般证明 .

The hidden symmetry and the intergability of long waves equation in (2+1) dimensions are considered by a prolongation approach. The internal algebraic structures and their linear spectra are derived in detail theoretically. Moreover, an auto Backlund transformation of the equation is also obtained from a Lie algebra's realization of the prolongation structures.