13 citations · 42 across the 8 of their papers we have counts for
4 papers · 1 filter
Transient asymptotics of the modified Camassa-Holm equation
Taiyang Xu, Yiling Yang, Lun Zhang
We investigate long time asymptotics of the modified Camassa-Holm equation in three transition zones under a nonzero background. The first transition zone lies between the soliton…
On the large-time asymptotics of the defocusing mKdV equation with step-like initial data
Taiyang Xu, Yidan Zhang
We study the Cauchy problem for the defocusing modified Korteweg-de Vries (mKdV) equation with step-like initial data approaching nonzero constants and as $x \to -\inft…
On the Cauchy problem of defocusing mKdV equation with finite density initial data: long time asymptotics in soliton-less regions
Taiyang Xu, Zechuan Zhang, Engui Fan
We investigate the long-time asymptotics for the solutions to the Cauchy problem of defocusing modified Kortweg-de Vries (mKdV) equation with finite density initial data. The prese…
Soliton resolution and asymptotic stability of -soliton solutions for the defocusing mKdV equation with a non-vanishing background
Zechuan Zhang, Taiyang Xu, Engui Fan
We analytically study the large-time asymptotics of the solution of the defocusing modified Korteweg-de Vries (mKdV) equation under a symmetric non-vanishing background, which supp…