In this paper, we are concerned with the Riemann–Hilbert approach for the higher-order
Gerdjikov–Ivanov equation with nonzero boundary conditions. A uniformization variable will …

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 Wadati–Konno–Ichikawa (WKI) equation with initial conditions in weighted Sobolev …

The good Boussinesq equation has several modified versions, such as the modified
Boussinesq equation, Mikhailov-Lenells equation and Hirota-Satsuma equation. This work …

We analyse the case of a dense modified Korteweg–de Vries (mKdV) soliton gas and its
large time behaviour in the presence of a single trial soliton. We show that the solution can …

The inverse scattering transform for the defocusing–defocusing coupled Hirota equations
with non-zero boundary conditions at infinity is thoroughly discussed. We delve into the …

We study theoretically the nonlinear interactions of vector breathers propagating on an
unstable wavefield background. As a model, we use the two‐component extension of the …

We systematically develop a Riemann–Hilbert approach for the quartic nonlinear
Schrödinger equation on the line with both zero boundary condition and nonzero boundary …

The aim of this work is multifold. Firstly, it intends to present a complete, quantitative and self-
contained description of the periodic traveling wave solutions and Whitham modulation …

The question of whether features and behaviors that are characteristic to completely
integrable systems persist in the transition to non-integrable settings is a central one in the …