Focusing on the local geometric properties of the shockpeakon for the Degasperis–Procesi
equation, a multi-symplectic method for the quasi-Degasperis–Procesi equation is proposed …

For Sobolev exponents greater than 3/2, it is proved that the data-to-solution map for the b-
family equation is continuous from H^s(T) into C(0,T;H^s(T)) but not uniformly continuous …

In this paper, we consider the b‐family of equations on the torus ut− utxx+ (b+ 1) uux=
buxuxx+ uuxxx, which for appropriate values of b reduces to well‐known models, such as …

Based on the multi-symplectic theory proposed by Bridges and Marsden, the mathematical
formulations for the multi-symplectic method are reviewed and several applications of which …

主要研究Vakhnenko 方程的光滑周期行波解的波长. 通过变量变换, Vakhnenko
方程可以转化为一个平面多项式微分系统. 利用动力系统的临界周期分支方法研究这个多项式 …

In this paper, we investigate the Novikov equation with weak dissipation terms. First, we give
the local well-posedness and the blow-up scenario. Then, we discuss the global existence …

In this paper, we study the Holm–Staley b-family equation with weakly dissipative term.
Firstly, we show the infinite propagation speed that if the initial datum u 0 (x) has a compact …

The wave lengths of smooth periodic traveling wave solutions to the Vakhnenko equation
were studied. The Vakhnenko equation was reduced to a planar polynomial differential …

In this paper we consider the $ b $-family of equations on the torus $ u\_t-u\_ {txx}+(b+ 1)
uu\_x= bu\_x u\_ {xx}+ uu\_ {xxx} $, which for appropriate values of $ b $ reduces to well …

We study a family of shallow water wave equations called the b-family equation. Known for
having multi-peakon solutions, this family includes the Camassa–Holm equation and the …