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math.AP2016
The Cauchy problem for higher-order modified Camassa-Holm equations on the circle
Wei Yan, Yongsheng Li, Xiaoping Zhai +1
In this paper, we investigate the Cauchy problem for the shallow water type equation \begin{eqnarray*} u_{t}+\partial_{x}^{2j+1}u + \frac{1}{2}\partial_{x}(u^{2})+ \partial_{x}(1-\…
math.AP2016★ 1 cited
The Cauchy problem for the shallow water typ equations in low regularity spaces on the circle
Wei Yan, Yongsheng LI, Xiaoping Zhai +1
In this paper, we investigate the Cauchy problem for the shallow water type equation \[ u_{t}+\partial_{x}^{3}u + \frac{1}{2}\partial_{x}(u^{2})+\partial_{x} (1-\partial_{x}^{2})^{…