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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Discover Applied Sciences

ISSN

3004-9261

e-ISSN

3004-9261

Svazek periodika

7

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

76

Kód UT WoS článku

001396244200002

EID výsledku v databázi Scopus

2-s2.0-85218045269