We consider the mathematical model with arbitrary power of nonlinearity which is described
by the generalized Schrödinger equation. The Cauchy problem for this equation is not …

We consider the perturbed Chen-Lee-Liu equation for describing propagation pulse in
optical fiber. The Cauchy problem for this equation is not solved by the inverse scattering …

Due to the fact that the higher-order Kaup–Newell (KN) system has more complex and
diverse solutions than the classical second-order flow KN system, the research on it has …

In this study, we use a systematic approach named the generalized unified method (GUM) to
construct the general exact solutions of the derivative nonlinear Schrödinger (DNLS) family …

We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We
then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and …

This paper aims to investigate optical soliton solutions in the context of the cubic-quartic
derivative nonlinear Schrödinger equation with differential group delay, incorporating …

For the first time both non-holonomic and quasi-integrable deformations are obtained for the
AB system of coupled equations. The AB system models geophysical and atmospheric fluid …

The nonholonomic deformations of nonlocal integrable systems belonging to the nonlinear
Schrödinger family are studied using the bi-Hamiltonian formalism as well as the Lax pair …

The non-holonomic deformation of the nonlinear Schrödinger equation, uniquely obtained
from both the Lax pair and Kupershmidt's bi-Hamiltonian (Kupershmidt in Phys Lett A 372 …

The non-holonomic deformation of the nonlinear Schrödinger equation, uniquely obtained
from both the Lax pair and Kupershmidt's bi-Hamiltonian (Kupershmidt in Phys Lett A 372 …