A bstract Utilizing some conservation laws of (1+ 1)-dimensional integrable local evolution
systems, it is conjectured that higher dimensional integrable equations may be regularly …

This monograph systematically develops and considers the so-called" dressing method" for
solving differential equations (both linear and nonlinear), a means to generate new non …

Abstract The Chen-Lee-Liu model has many applications in assorted fields, particularly in
the study of nonlinear dynamics, chaos theory, circuit design, signal processing, secure …

In this paper, we report a rigorous theory of the inverse scattering transforms (ISTs) for the
derivative nonlinear Schrödinger (DNLS) equation with both zero boundary conditions …

The aim of this research intends to investigate the complex wave patterns and dynamic
behavior of the Gerjikov-Ivanov equation (GIE), commonly known as the derivative nonlinear …

We introduce a novel class of derivative nonlinear Schrödinger equations incorporating a
pure derivative nonlinearity term of arbitrary order. This new model can be used as a basis …

Exact soliton solutions in a class of derivative nonlinear Schrödinger equations including a
pure quintic nonlinearity are investigated. By means of the coupled amplitude-phase …

We present new types of bright soliton solutions with nonlinear chirp for a derivative
nonlinear Schrödinger model incorporating group velocity dispersion and self-steepening …

The standard approach to integrable nonlinear evolution equations (NLEE) usually uses the
following steps:(1) Lax representation [L, M]= 0;(2) construction of fundamental analytic …

We see that the recursion operator is a very useful and important object in the theory of
nonlinear evolution equations integrable by the IST method. On the one hand, the recursion …