NONLINEAR CONSTRAINTS AND SOLITON-SOLUTIONS OF 1-DIMENSIONAL 3-WAVE EQUATION(2)

Using the nonlinear constraint method, the explicit expressions of loc alized solitons of the 1+2-dimensional three-wave equation are obtaine d. After the lth Darboux transformation, each component of the solutio n has, at most, l(2) peaks when the parameters for each single Darboax transformation are large enough. This lives a corresponding asymptoti c property for the DSI equation, although all the peaks of each compon ent move in the same velocity here. (C) 1998 American Institute of Phy sics. [S0022-2488(98)03701-3].