Limit symmetry of the Korteweg-de Vries equation and its applications

作者：Zhang Da jun^*; Zhang Jian bing; Shen Qing

来源：Theoretical and Mathematical Physics, 2010, 163(2): 634-643.

DOI：10.1007/s11232-010-0046-y

• symmetry
• KdV equation
• symmetry constraint
• self-consistent source
• bilinear method

We discuss a symmetry of the Korteweg-de Vries (KdV) equation. This symmetry can be related to the squared eigenfunction symmetry by a limit procedure. As applications, we consider the similarity reduction of the KdV equation and a KdV equation with new self-consistent sources. We derive some solutions via a bilinear approach.

• 出版日期2010-5
• 单位上海大学