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| New Baecklund Transformation and New Exact Solutions to （2＋1）-Dimensional KdV Equation | |
| 引用本文： | PENGYan-Ze. New Baecklund Transformation and New Exact Solutions to （2＋1）-Dimensional KdV Equation[J]. 理论物理通讯, 2003, 40(3): 257-258 |
| 作者姓名： | PENGYan-Ze |
| 作者单位： | LaboratoryofPureandAppliedMathematics,CCSE,SchoolofMathematicalSciences,PekingUniversity,Beijing100871,China |
| 摘 要： | A new Baecklund transformation for (2 1)-dimensional KdV equation is first obtained by using homogeneous balance method. And making use of the Baecklund transformation and choosing a special seed solution, we get special types of solitary wave solutions. Finally a general variable separation solution containing two arbitrary functions is constructed, from which abundant localized coherent structures of the equation in question can be induced. |
| 关 键 词： | （2＋1）维KDV方程 孤波解 Baecklund变换 精确解 均匀平衡法 非线性演化方程 |
| 收稿时间： | 2003-01-15 |
New Bäcklund Transformationand New Exact Solutions to (2+1)-Dimensional KdV Equation |
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| PENG Yan-Ze. New Bäcklund Transformationand New Exact Solutions to (2+1)-Dimensional KdV Equation[J]. Communications in Theoretical Physics, 2003, 40(3): 257-258 | |
| Authors: | PENG Yan-Ze |
| Affiliation: | Laboratory of Pure and Applied Mathematics, CCSE, School of Mathematical Sciences, Peking University, Beijing 100871, China |
| Abstract: | A new Bäcklund transformation for (2+1)-dimensional KdV equation is firstobtained by using homogeneous balance method. And making use of theBäcklund transformation and choosing a special seed solution, we get special types of solitary wave solutions. Finally a general variable separation solution containing two arbitraryfunctions is constructed, from which abundant localized coherent structures of the equation in question can be induced. |
| Keywords: | (2+1)-dimensional KdV equation solitary wave solution the homogeneous balance method |
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