论文标题
广义KDV方程的非分散溶液通常是多solitons
Non dispersive solutions of the generalized KdV equations are typically multi-solitons
论文作者
论文摘要
我们考虑了广义的Korteweg-de Vries方程（GKDV）的解决方案，这些方程在某种意义上是不分散的（本着[18]的精神），并且仍然接近多索群。我们表明这些解决方案必然是纯粹的多智能子。特别是对于Korteweg-de Vries方程（KDV）和修改的Korteweg-De Vries方程（MKDV），我们从非分散方面获得了多solitons和多ing子的表征。
We consider solutions of the generalized Korteweg-de Vries equations (gKdV) which are non dispersive in some sense (in the spirit of [18]) and which remain close to multi-solitons. We show that these solutions are necessarily pure multi-solitons. For the Korteweg-de Vries equation (KdV) and the modified Korteweg-de Vries equation (mKdV) in particular, we obtain a characterization of multi-solitons and multi-breathers in terms of non-dispersion.
