Recently, a number of nonlocal integrable equations, such as the‐symmetric nonlinear
Schrödinger (NLS) equation and‐symmetric Davey–Stewartson equations, were proposed …

A generalized Sasa–Satsuma equation on the line is studied via the Riemann–Hilbert
approach. Firstly we derive a Lax pair associated with a 3× 3 matrix spectral problem for the …

Breathers or oscillating wave packets, along with solitons, are the most energy-carrying
waves in various physical media, ie surface and internal waves, optical networks, and …

In this paper, we prove that an integrable nonlocal complex modified Korteweg-de Vries
(mKdV) equation introduced by Ablowitz and Musslimani [Nonlinearity 29, 915–946 (2016)] …

In this paper, the nonlinear complex Hirota-dynamical model NLCHM in which the third
derivative term represents the self-interaction in the high-frequency subsystem is …

Soliton molecules may exist experimentally and theoretically. In this work, we generate
some soliton molecules for (2+ 1)–dimensional Sawada–Kotera equation by multiple soliton …

Dynamics of random multi-soliton fields within the framework of the modified Korteweg–de
Vries equation is considered. Statistical characteristics of a soliton gas (distribution functions …

This article presents a numerical investigation of overtaking collisions between two solitary
waves in the context of the Schamel equation. Our study reveals different regimes …

In this article, the non-linear coupled Hirota equations are considered attributed to localized
excitations. By employing a modified double Laplace transform decomposition method, we …

We study numerically the integrable turbulence in the framework of the one-dimensional
nonlinear Schrodinger equation (1D-NLSE) of the focusing type using a new approach …