期刊
THEORETICAL AND MATHEMATICAL PHYSICS
卷 163, 期 2, 页码 634-643出版社
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1007/s11232-010-0046-y
关键词
symmetry; KdV equation; symmetry constraint; self-consistent source; bilinear method
资金
- National Natural Science Foundation of China [10671121]
- Shanghai Leading Academic Discipline Project [J50101]
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.
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