66 citations · 436 across the 35 of their papers we have counts for
35 papers
Rogue peakon, well-posedness, ill-posedness and blow-up phenomenon for an integrable Camassa-Holm type equation
Mingxuan Zhu, Zhenteng Zeng, Zaihong Jiang +2
In this paper, we study an integrable Camassa-Holm (CH) type equation with quadratic nonlinearity. The CH type equation is shown integrable through a Lax pair, and particularly the…
Pseudo-peakons and Cauchy analysis for an integrable fifth-order equation of Camassa-Holm type
Enrique G. Reyes, Mingxuan Zhu, Zhijun Qiao
In this paper we discuss integrable higher order equations {\em of Camassa-Holm (CH) type}. Our higher order CH-type equations are "geometrically integrable", that is, they describ…
Local well-posedness and blow-up for a family of -invariant peakon equations
Stephen C. Anco, Huijun He, Zhijun Qiao
The Cauchy problem for a unified family of integrable -invariant peakon equations from the NLS hierarchy is studied. As main results, local well-posedness is proved in Besov…
On the Cauchy problem for a higher-order -Camassa-Holm equation
Feng Wang, Fengquan Li, Zhijun Qiao
In this paper, we study the Cauchy problem of a higher-order -Camassa-Holm equation. We first establish the Green's function of and…
Well-posedness and peakons for a higher-order -Camassa-Holm equation
Feng Wang, Fengquan Li, Zhijun Qiao
In this paper, we study the Cauchy problem of a higher-order -Camassa-Holm equation. By employing the Green's function of , we obtain the explicit for…
Alice-Bob Peakon Systems
Senyue Lou, Zhijun Qiao
In this letter, we study the Alice-Bob peakon system generated from an integrable peakon system through using the strategy of the so-called Alice-Bob non-local KdV approach [13]. N…