Based on Darboux transformation, we generate breather solutions sitting on zero
background via module resonance for complex modified KdV equation. Then, some novel …

We analyze the response of rational and regular (hyperbolic-secant) soliton solutions of an
extended nonlinear Schrödinger equation (NLSE) which includes an additional self …

Based on the Darboux transformation and N-soliton solutions, we obtain the explicit
formulas of arbitrary-order multi-pole (MP) solutions of the Hirota equation via some limit …

The inverse scattering method is performed to the complex modified Korteweg–de Vries
equation with zero boundary condition by developing an appropriate Riemann–Hilbert …

We provide the explicit formulae of the smooth positon solutions of the complex modified
KdV (mKdV) equation using degenerate Darboux transformation with respect to the …

In this paper, a discrete complex modified Korteweg-de Vries (DcmKdV) equation is
investigated. Firstly, the modulational instability is studied beginning with the plane wave …

We show that nonlinear wave packets localized in two dimensions with characteristic rogue
wave profiles can propagate in a third dimension with significant stability. This unique …

In this paper, an N-fold Darboux transformation is constructed for the discrete complex
modified Korteweg-de Vries equation of focusing type, in terms of determinants. Through the …

We consider the mechanism of formation of isolated localized wave structures in the
diatomic Fermi-Pasta-Ulam (FPU) model. Using a singular multiscale asymptotic analysis in …

Under consideration is the second-order integrable discretization of complex modified
Korteweg-de Vries (mKdV) equation which is regarded as the discrete counterpart of the …