|
|||||
|
|
On the extended KdV equation with self-consistent sources |
|
| Authors: | Hongxia Wu Yunbo Zeng Tianyou Fan |
| Institution: | aDepartment of Mathematics, School of Science, Jimei University, Xiamen 361021, PR China bDepartment of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, PR China cDepartment of Mathematical Sciences, Tsinghua University, Beijing 100084, PR China |
| Abstract: | The positive extended KdV equation with self-consistent sources (eKdV+ ESCSs) is firstly presented and its related linear auxiliary equation is derived. The generalized binary Darboux transformation (DT) is applied to construct some new solutions of the eKdV+ ESCSs such as N-soliton solution, N-double pole solution and nonsingular N-positon solution. The properties of these solutions are analyzed. Moreover, the interaction of two solitons is discussed in detail. |
| Keywords: | eKdV+ ESCSs Generalized binary DT Soliton solution Double pole solution Nonsingular positon solution |
| 本文献已被 ScienceDirect 等数据库收录！ | |