In this paper, we examine a modified auxiliary equation method. We applied this novel
method on Wu-Zhang system. This model used to describe (1+ 1)-dimensional dispersive …

Stable vortex lattices are basic dynamical patterns which have been demonstrated in
physical systems including superconductor physics, Bose-Einstein condensates …

This paper examines the effects of three distinct numerical schemes (Adomian
Decomposition, quintic & septic Spline methods) to investigate semi-analytical and …

Nondiffracting and shape-preserving light beams have been extensively studied and were
shown to exhibit intriguing wave phenomena, which led to applications including particle …

We theoretically reveal the link between two types of self-acceleration mechanisms widely
emerging in wave dynamics and experimentally demonstrate such a connection via pulse …

We present the theoretical models and review the most recent results of a class of
experiments in the field of surface gravity waves. These experiments serve as demonstration …

We introduce a dynamic stabilization scheme universally applicable to unidirectional
nonlinear coherent waves. By abruptly changing the waveguiding properties, the breathing …

Green water events may present different features in the initial stage of interaction with the
deck of a structure. It is therefore important to investigate the evolution of different types of …

A stabilization scheme is proposed for the dynamics of breather waves induced by the
coherent-seed modulation instability based on manipulation of phase-space trajectory …

Resonant standing waves excited on the water surface in a deep narrow rectangular cavity
by a fully immersed cylinder harmonically oscillating in the vertical direction are studied …