most citedCauchy problem and multi-soliton solutions for a two-component short pulse system

1 citations · 3 across the 5 of their papers we have counts for

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5 papers

nlin.SI2015★ 1 cited

Cauchy problem and multi-soliton solutions for a two-component short pulse system

Zhaqilao, Qiaoyi Hu, Zhijun Qiao

In this paper, we study the Cauchy problem and multi-soliton solutions for a two-component short pulse system. For the Cauchy problem, we first prove the existence and uniqueness o…

math-ph2015★ 1 cited

Global existence and propagation speed for a generalized Camassa-Holm model with both dissipation and dispersion

Qiaoyi Hu, Zhijun Qiao

In this paper, we study a generalized Camassa-Holm (gCH) model with both dissipation and dispersion, which has (N + 1)-order nonlinearities and includes the following three integra…

math-ph2015★ 1 cited

Persistence Properties and Unique Continuation for a Dispersionless Two-Component Camassa-Holm System with Peakon and Weak Kink Solutions

Qiaoyi Hu, Zhijun Qiao

In this paper, we study the persistence properties and unique continuation for a dispersionless two-component system with peakon and weak kink solutions. These properties guarantee…

nlin.SI2015

Analyticity, Gevrey regularity and unique continuation for an integrable multi-component peakon system with an arbitrary polynomial function

Qiaoyi Hu, Zhijun Qiao

In this paper, we study the Cauchy problem for an integrable multi-component (2N-component) peakon system which is involved in an arbitrary polynomial function. Based on a generali…

math.AP2011

Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity

Qiaoyi Hu, Zhaoyang Yin

We first establish local well-posedness for a periodic 2-component Camassa-Holm equation with vorticity. We then present a global existence result for strong solutions to the equat…