Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255711" target="_blank" >RIV/61989100:27740/24:10255711 - isvavai.cz</a>

Result on the web

<a href="https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0304334" target="_blank" >https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0304334</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1371/journal.pone.0304334" target="_blank" >10.1371/journal.pone.0304334</a>

Result language

angličtina

Original language name

Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation

Original language description

This article aims to study the time fractional coupled nonlinear Schr &amp; ouml;dinger equation, which explains the interaction between modes in nonlinear optics and Bose-Einstein condensation. The proposed generalized projective Riccati equation method and modified auxiliary equation method extract a more efficient and broad range of soliton solutions. These include novel solutions like a combined dark-lump wave soliton, multiple dark-lump wave soliton, two dark-kink solitons, flat kink-lump wave, multiple U-shaped with lump wave, combined bright-dark with high amplitude lump wave, bright-dark with lump wave and kink dark-periodic solitons are derived. The travelling wave patterns of the model are graphically presented with suitable parameters in 3D, density, contour and 2D surfaces, enhancing understanding of parameter impact. The proposed model&apos;s dynamics were observed and presented as quasi-periodic chaotic, periodic systems and quasi-periodic. This analysis confirms the effectiveness and reliability of the method employed, demonstrating its applicability in discovering travelling wave solitons for a wide range of nonlinear evolution equations.

Czech name

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Czech description

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Type

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

CEP classification

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OECD FORD branch

10700 - Other natural sciences

Project

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Continuities

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Publication year

2024

Confidentiality

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

Name of the periodical

PLoS One

ISSN

1932-6203

e-ISSN

1932-6203

Volume of the periodical

19

Issue of the periodical within the volume

8

Country of publishing house

US - UNITED STATES

Number of pages

27

Pages from-to

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UT code for WoS article

001305462200019

EID of the result in the Scopus database

2-s2.0-85202651399