Compression and stretching of ring vortex in a bulk nonlinear medium

Abstract

We explore the nonlinear gain coupled Schrödinger system through the utilization of the variables separation method and ansatz technique. By employing these approaches, we generate hierarchies of explicit dissipative vector vortices (DVVs) that possess diverse vorticity values. Numerous fundamental characteristics of the DVVs are examined, encompassing amplitude profiles, energy fluxes, parameter effects, as well as linear and dynamic stability.

Nonlinear Superposition and Composite Solution Formula for the Generalized (2+1)-Dimensional Variable-Coefficient Fifth-Order KdV Equation

“…Nonlinear evolution equations can be used to describe nonlinear phenomena and play a vital role in many fields [1][2][3][4]. Nonlinear science involves the related fields of natural sciences and social sciences, mainly including mathematics, medical chemistry, biology, astronomy, physics, economics and other important subject areas, which is to construct the connection between mathematics and other disciplines.…”