Bifurcation, chaos, modulation instability, and soliton analysis of the schrodinger equation with cubic nonlinearity.

ABSTRACT: Bifurcation, chaos, modulation instability, and solitons are important phenomena in nonlinear dynamical structures that help us understand complex physical processes. This work employs the Schrödinger equation with cubic nonlinearity (SECN), rising in superconductivity, quantum mechanics, optics, and plasma physics. We developed an ordinary differential arrangement using a traveling wave alteration and found the soliton outcome to the mentioned problem utilizing the unified solver technique. Then we obtain different categories of wave designs, including bright and dark solitons, with periodic, quasiperiodic, and chaotic behaviors. We examined the system's planar dynamics to observe sensitivity, chaos, and bifurcation. The chaotic state involves various procedures such as multistability, re

SUBMITTER: Rahaman MS 

PROVIDER: S-EPMC11972352 | biostudies-literature | 2025 Apr

REPOSITORIES: biostudies-literature