In the present paper, we are concerned with the general analytic solutions to the complex
short pulse (CSP) equation including soliton, breather and rogue wave solutions. With the …

In the present paper, we propose a complex short pulse equation and a coupled complex
short equation to describe ultra-short pulse propagation in optical fibers. They are integrable …

We propose a novel multi-component system of nonlinear equations that generalizes the
short pulse (SP) equation describing the propagation of ultra-short pulses in optical fibers …

We first reveal that there is a Riccati-type Miura transformation from the Fokas–Lenells (FL)
system to the first member of the negative part of the AKNS hierarchy. We derive a vectorial …

In the present paper, we study the real and complex coupled dispersionless (CD) equations,
the real and complex short pulse (SP) equations geometrically and algebraically. From the …

Two complex short pulse equations in optical fiber, namely, the focusing complex short
pulse (FCSP) equation and the defocusing complex short pulse (DFCSP) equation, are …

In this paper, we develop the Riemann–Hilbert approach to the inverse scattering transform
(IST) for the complex coupled short‐pulse equation on the line with zero boundary …

In the present paper, we attempt to construct both the breather and rogue wave solutions to
the focusing complex short pulse (fCSP) equation via the KP–Toda reduction method …

In this paper, we develop a Riemann–Hilbert (RH) approach to the inverse scattering
transform for the coupled modified complex short pulse (cmcSP) equation, which appeared …

The paper is to reveal the direct links between the well known Sylvester equation in matrix
theory and some integrable systems. Using the Sylvester equation KM+ MK= rs T we …