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

作　　者：CHENYong LIBiao ZHANGHong-Qing 

机构地区：[1]DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian116024,China

出　　处：《Communications in Theoretical Physics》2003年第2X期137-142,共6页理论物理通讯（英文版）

摘　　要：Based on the computerized symbolic system Mapte, 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 ansatz. Making use of the method, we consider the (2+1)-dimensional breaking soliton equation, ut + buxxy + 4buvx+4buxv = O,uv=vx, and obtain rich new families of the exact solutions of the breaking sofiton equation, including then on-traveilin~ wave and constant function sofiton-like solutions, singular soliton-like solutions, and triangular function solutions.

关 键 词：符号计算 RICCATI方程 广义扩展方法 (2+l)维断裂孤子方程 类孤波解 建筑工程 

分 类 号：TU12[建筑科学—建筑理论]