论文标题
非局部KDV方程
Nonlocal KdV Equations
论文作者
论文摘要
用对称形式编写方程式的hirota-satsuma（HS）系统，我们发现其局部和新的非本地降低。事实证明，HS系统的所有降低都是Korteweg-De Vries（KDV），复杂的KDV和新的非局部KDV方程。我们通过使用Hirota双线化方法获得了这些KDV方程的一氧化溶液。
Writing the Hirota-Satsuma (HS) system of equations in a symmetrical form we find its local and new nonlocal reductions. It turns out that all reductions of the HS system are Korteweg-de Vries (KdV), complex KdV, and new nonlocal KdV equations. We obtain one-soliton solutions of these KdV equations by using the method of Hirota bilinearization.
