In this work, we investigate the Cauchy problem of the Wadati-Konno-Ichikawa (WKI)
equation with finite density initial data in space-time solitonic regions, iq t+(q 1+| q| 2) xx= 0 …

In this work, we employ the∂¯-steepest descent method to investigate the Cauchy problem
of the complex short pulse (CSP) equation with initial conditions in weighted Sobolev space …

We study the long time asymptotic behavior for the Cauchy problem of the modified
Camassa-Holm (mCH) equation in the solitonic regions m t+(m (u 2− ux 2)) x+ κ ux= 0, m …

In this work, we employ the∂¯-steepest descent method to investigate the Cauchy problem
of the Wadati–Konno–Ichikawa (WKI) equation with initial conditions in weighted Sobolev …

In this paper, we address the Painlevé asymptotics of the solution in two transition regions
for the defocusing nonlinear Schrödinger (NLS) equation with finite density initial data iqt+ q …

In this paper, we study the soliton resolution and large time behavior of solutions to the
Cauchy problem for the Novikov equation with a nonzero background ut− utx x+ 4 ux= 3 …

In this work, we are devoted to studying the Cauchy problem of the short pulse (SP) equation
with weighted Sobolev initial data. By develo** the∂¯-generalization of Deift-Zhou …

We study the long-time asymptotic behavior of the focusing Fokas-Lenells (FL) equation ux
t+ α β 2 u− 2 i α β ux− α uxx− i α β 2| u| 2 ux= 0 with generic initial data in a Sobolev space …

In this paper, we apply∂‾ steepest descent method to study the Cauchy problem for the
nonlinear short-pulse equation uxt= u+ 1 6 (u 3) xx, u (x, 0)= u 0 (x)∈ H (R), where H (R)= W …

The soliton resolution for the focusing modified Korteweg-de Vries (mKdV) equation is
established for initial conditions in some weighted Sobolev spaces. Our approach is based …