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 …

Exact solutions of nonlinear differential equations are of great importance to the theory and
practice of complex systems. The main point of this review article is to discuss a specific …

We obtain the nondegenerate one-and two-soliton solutions of the nonlocal nonlinear
Schrödinger equation by using the nonstandard Hirota method. This unconventional method …

We investigate the propagation and interaction dynamics of the optical dark bound solitons
for the defocusing Lakshmanan-Porsezian-Daniel equation, which is a physically relevant …

In this work, we explore a deep learning algorithm for vector solitons of the coupled
nonlinear Schrödinger equation (CNLSE). Based on the original physics-informed neural …

In this work, we systematically investigate the general‐component nonlinear Schrödinger
equations by using the Riemann–Hilbert method. Starting from the Lax pair associated with …

The Darboux transformation (DT) for the coupled complex short pulse (CCSP) equation is
constructed through the loop group method. The DT is then utilized to construct various …

Ion-acoustic waves are investigated in an unmagnetized collisionless plasma comprising
dynamical ions and inertialess cold and hot (C–H) electrons expressed by Maxwellian …

The Darboux transformation (DT) for the integrable nonlocal nonlinear Schrödinger equation
(nNLSE) is constructed with the aid of loop group method. Based on the DT, we derive …

In the present paper, we are concerned with the general analytic solutions to the complex
short pulse (CSP) equation including soliton, breather and rogue wave solutions. With the …