Solitons are stable localized wave packets that can propagate long distance in dispersive
media without changing their shapes. As particle-like nonlinear localized waves, solitons …

In this work, we investigate diverse analytical solutions and modulation instability of the
nonlinear Schrödinger equation with an anti-cubic nonlinear term. We use the traveling …

A new test function is proposed to construct the elastic one-lump-multi-stripe solutions to the
(2+ 1)-dimensional nonlinear evolution equations via Hirota bilinear forms. The necessary …

Sasa–Satsuma type matrix integrable hierarchies are generated from taking two group
reductions of replacing the spectral parameter with its complex conjugate and its negative in …

In this paper, we propose a combined form of the bilinear Kadomtsev–Petviashvili equation
and the bilinear extended (2+ 1)-dimensional shallow water wave equation, which is linked …

We would like to propose a kind of nonlocal real reverse-spacetime integrable hierarchies of
PT-symmetric matrix AKNS equations through nonlocal symmetry reductions on the potential …

We conduct two nonlocal group reductions of the AKNS matrix spectral problems to
generate a class of nonlocal reverse-spacetime integrable mKdV equations. One reduction …

Abstract The (2+ 1)-dimensional generalized coupled nonlinear Schrödinger equation with
the four-wave mixing (FWM) term is studied in this paper, which describes the optical …

Boundary value problems for integrable nonlinear differential equations can be analyzed via
the Fokas method. In this paper, this method is employed in order to study initial–boundary …

Reduced nonlocal matrix integrable modified Korteweg–de Vries (mKdV) hierarchies are
presented via taking two transpose-type group reductions in the matrix Ablowitz–Kaup …