变系数(2+1)维破裂孤立子方程的N-孤立子解及其应用  

N-Soliton Solutions to the (2+1)-Dimensional Variable-coefficient Breaking Soliton Equation and its Application

作　　者：孙福伟[1] 蔡九鲜[1] 

机构地区：[1]北方工业大学理学院,北京100144

出　　处：《北方工业大学学报》2012年第1期49-54,共6页Journal of North China University of Technology

摘　　要：利用Hirota方法和计算机符号计算,解决了变系数(2+1)维破裂孤立子方程的求解问题,并给出了N-孤立子解的解析解表达式.利用所得到的变系数(2+1)维破裂孤立子方程的多孤立子解析解,模拟出多孤立子随变系数函数变化时,多孤立子传播过程中的变化状态仿真图像;展示了多孤立子之间的相互作用.By Hirota method and computer symbolic manipulation , the（2＋1）-dimensional variable-coefficient of breaking soliton equation is investigated. The expression of the analytical N-soliton solution to the （2＋1）-dimensional variable coefficient of breaking soliton equation is derived. Through the analytical multi-soliton solutions, emulational images of the multi-soliton solutions are set out. The fact that the shape of soliton wave will be affected when the variable-coefficients change is discussed. The mutual effect among N-solitions is shown.

关 键 词：PAINLEVÉ分析 HIROTA方法 Bcklund变换 变系数(2+1)维破裂孤立子方程 多孤立子解 

分 类 号：O175.29[理学—数学]