Analyzing optical soliton solutions in Kairat-X equation via new auxiliary equation method

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255724" target="_blank" >RIV/61989100:27740/24:10255724 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s11082-024-07197-7" target="_blank" >https://link.springer.com/article/10.1007/s11082-024-07197-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11082-024-07197-7" target="_blank" >10.1007/s11082-024-07197-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analyzing optical soliton solutions in Kairat-X equation via new auxiliary equation method

Popis výsledku v původním jazyce

The paper introduce a novel auxiliary equation method for the successful derivation of traveling wave solutions for the non-linear Kairat-X (K-X) equation. Along with other novel results, soliton, singular, triangular periodic, and doubly periodic topological solutions are among the solutions obtained. The study revisits the concept of optical solitary waves, enhancing our understanding of the model. Previous studies have already derived analytical solutions using diverse approaches, contributing to the discovery of new soliton solutions within this framework. These solutions are characterized through three-dimensional, contour plot, and two-dimensional profile analyses. Additionally, the impact of time on the propagation of wave patterns is explored. The outcomes show how well our suggested approach works to solve non-linear evolution equations by producing fresh, more thorough solutions, making it a powerful mathematical tool for doing so. Through this article, we elucidate how leveraging NAEM with the Kairat-X equation can lead to optimized optical systems, improved data transmission rates, and the evolution of nonlinear optics towards more efficient and reliable communication technologies. (C) The Author(s) 2024.

Název v anglickém jazyce

Analyzing optical soliton solutions in Kairat-X equation via new auxiliary equation method

Popis výsledku anglicky

The paper introduce a novel auxiliary equation method for the successful derivation of traveling wave solutions for the non-linear Kairat-X (K-X) equation. Along with other novel results, soliton, singular, triangular periodic, and doubly periodic topological solutions are among the solutions obtained. The study revisits the concept of optical solitary waves, enhancing our understanding of the model. Previous studies have already derived analytical solutions using diverse approaches, contributing to the discovery of new soliton solutions within this framework. These solutions are characterized through three-dimensional, contour plot, and two-dimensional profile analyses. Additionally, the impact of time on the propagation of wave patterns is explored. The outcomes show how well our suggested approach works to solve non-linear evolution equations by producing fresh, more thorough solutions, making it a powerful mathematical tool for doing so. Through this article, we elucidate how leveraging NAEM with the Kairat-X equation can lead to optimized optical systems, improved data transmission rates, and the evolution of nonlinear optics towards more efficient and reliable communication technologies. (C) The Author(s) 2024.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

—

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Optical And Quantum Electronics

ISSN

0306-8919

e-ISSN

1572-817X

Svazek periodika

56

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

—

Kód UT WoS článku

001275451000020

EID výsledku v databázi Scopus

2-s2.0-85199034280