Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10256657" target="_blank" >RIV/61989100:27740/25:10256657 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s42452-024-06359-2" target="_blank" >https://link.springer.com/article/10.1007/s42452-024-06359-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s42452-024-06359-2" target="_blank" >10.1007/s42452-024-06359-2</a>

Result language

angličtina

Original language name

Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity

Original language description

In this research, a systematic approach is employed to derive novel wave solutions for the coupled nonlinear Schr &amp; ouml;dinger equation. The transformation of the coupled partial differential equation into ordinary differential equation is achieved by utilizing a complex wave variable. Exponential function combinations are applied to construct the wave solutions. The accuracy of the derived solitons is validated through symbolic computations performed in Wolfram Mathematica, accompanied by graphical visualizations of the proposed solutions. The model is converted into a dynamical system, enabling qualitative and sensitivity analysis. Additionally, introducing perturbed terms is examined, revealing chaotic patterns in the system. The impact of variations in amplitude and frequency parameters on the system&apos;s dynamical behaviour is thoroughly investigated. The findings underscore the efficiency and reliability of the applied techniques, demonstrating their applicability to a wide range of complex nonlinear systems.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10100 - Mathematics

Project

—

Continuities

O - Projekt operacniho programu

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Discover Applied Sciences

ISSN

3004-9261

e-ISSN

3004-9261

Volume of the periodical

7

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

15

Pages from-to

76

UT code for WoS article

001396244200002

EID of the result in the Scopus database

2-s2.0-85218045269