| Darboux Transformation and Variable Separation Approach： the Nizhnik-Novikov-Veselov Equation |
| |
| 引用本文： | 胡恒春,楼森岳,刘青平.Darboux Transformation and Variable Separation Approach： the Nizhnik-Novikov-Veselov Equation[J].中国物理快报,2003,20(9):1413-1415. |
| |
| 作者姓名： | 胡恒春 楼森岳 刘青平 |
| |
| 作者单位： | [1]DepartmentofPhysics,ShanghaiJiaoTongUniversity,Shanghai200030 [2]SchoolofMathematics,TheUniversityofNewSouthWales,Sydney,NSW2052,Australia [3]BeifingGraduateSchool,ChinaUnlversltyofMiningandTechnoiogy,Beifing100083 |
| |
| 摘 要： | Darboux transformation (DT) is developed to systematically find variable separation solutions for the Nizhnik-Novikov-Veselov equation. Starting from a seed solution with some arbitrary functions, the one-step DT yields the variable separable solutions, which can be obtained from the truncated Painleve analysis, and the two-step DT leads to some new variable separable solutions, which are the generalization of the known results obtained by using a guess ansatz to solve the generalized trilinear equation.
|
| 关 键 词： | Nizhnik-Novikov-Veselov方程 精确解 Darboux变换 达布变换 可变分离近似 物理学 |
| 本文献已被 维普 等数据库收录！ |
|
