Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation^*

Based on the computerized symbolic system Maple, a new generalized expansion method of Riccati equation for constructing non-travelling wave and coefficient functions' soliton-like solutions is presented by a new general ansätz. Making use of the method, we consider the (2+1)-dimensional breaking soliton equation, $u_t+bu_{xxy}+4buv_x+$$4bu_xv=0,u_y=v_x$, and obtain rich new families of the exact solutions of the breaking soliton equation, including the non-travelling wave and constant function soliton-like solutions, singular soliton-like solutions, and triangular function solutions.