General N-solitons in three recently-proposed nonlocal nonlinear Schrödinger equations
are presented. These nonlocal equations include the reverse-space, reverse-time, and …

An integrable nonlocal nonlinear Schrödinger (NLS) equation with clear physical
motivations is proposed. This equation is obtained from a special reduction of the Manakov …

In this study, an alternative method has been applied to obtain the new wave solution of
mathematical equations used in physics, engineering, and many applied sciences. We …

In this paper, nonlocal reductions of the Ablowitz–Kaup–Newell–Suger (AKNS) hierarchy
are collected, including the nonlocal nonlinear Schrödinger hierarchy, nonlocal modified …

We study the nonlocal modified Korteweg–de Vries (mKdV) equations obtained from AKNS
scheme by Ablowitz–Musslimani type nonlocal reductions. We first find soliton solutions of …

In this paper, the Fokas–Lenells (FL) equations are investigated via bilinear approach. We
bilinearize the unreduced FL system, derive double Wronskian solutions, and then, by …

The aim of this paper is to conduct two group reductions for matrix spectral problems
simultaneously. We formulate reduced Ablowitz-Kaup-Newell-Segur matrix spectral …

In this paper we present a reduction technique based on bilinearization and double
Wronskians (or double Casoratians) to obtain explicit multi-soliton solutions for the …

The (3+ 1)‐dimensional generalized nonlinear evolution equation is investigated based on
the Hirota bilinear method. N‐soliton solutions, bilinear Bäcklund transformation, high‐order …

In this paper, the Hirota's bilinear method and Kadomtsev‐Petviashvili hierarchy reduction
method are applied to construct soliton, line breather and (semi‐) rational solutions to the …