Smooth soliton solutions of a new integrable equation by Qiao

Smooth soliton solutions of a new integrable equation by Qiao
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DOI:
10.1063/1.3548837
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发表时间:
2010-10
影响因子:
1.3
通讯作者:
S. Sakovich
S. Sakovich
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
S. Sakovich

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我们发现了一个新的三阶可积的非线性发展方程与著名的修正的Korteweg-de Vries方程之间的联系。然后利用这个变换,从已知的旧方程的有理孤子解和孤子解出发,求出新方程的光滑孤子解。
We find a transformation which relates a new third-order integrable nonlinear evolution equation, introduced recently by Qiao, with the well-known modified Korteweg–de Vries equation. Then we use this transformation to derive smooth soliton solutions of the new equation from the known rational and soliton solutions of the old one.