Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10256378" target="_blank" >RIV/61989100:27740/25:10256378 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s11071-024-10756-y#data-availability" target="_blank" >https://link.springer.com/article/10.1007/s11071-024-10756-y#data-availability</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11071-024-10756-y" target="_blank" >10.1007/s11071-024-10756-y</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points

Popis výsledku v původním jazyce

In this study, the (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation is analyzed to model internal wave interactions with both elastic and inelastic properties. The investigation begins with the derivation of explicit N-soliton solutions, particularly in the form of bright solitons, which demonstrate localized energy concentration. Subsequently, various breather solutions are proposed in distinct planes using the complex conjugate approach. By employing the long-wave limit approach to the N-soliton solutions, higher-order bright lump and line rogue wave solutions, which represent localized structures and sudden energy surges, are constructed. A novel aspect of this research is the derivation of six distinct hybrid solutions, combining solitons, lumps, and breathers waves through the selection of specific parameters. Physical collision phenomena among these waves, including soliton-soliton and soliton-lump interactions, are explored in detail. A comparative analysis of solution behaviors is conducted for the first time, with overlapping regions and distinctions within their solution spaces highlighted using data points. To analyze the characteristics of these interaction solutions, the results are visually illustrated through 3D and 2D plots. Through this study, significant contributions are made to soliton theory and nonlinear wave research, enhancing the theoretical framework and introducing innovative methods for analyzing wave dynamics. [GRAPHICS] .

Název v anglickém jazyce

Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points

Popis výsledku anglicky

In this study, the (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation is analyzed to model internal wave interactions with both elastic and inelastic properties. The investigation begins with the derivation of explicit N-soliton solutions, particularly in the form of bright solitons, which demonstrate localized energy concentration. Subsequently, various breather solutions are proposed in distinct planes using the complex conjugate approach. By employing the long-wave limit approach to the N-soliton solutions, higher-order bright lump and line rogue wave solutions, which represent localized structures and sudden energy surges, are constructed. A novel aspect of this research is the derivation of six distinct hybrid solutions, combining solitons, lumps, and breathers waves through the selection of specific parameters. Physical collision phenomena among these waves, including soliton-soliton and soliton-lump interactions, are explored in detail. A comparative analysis of solution behaviors is conducted for the first time, with overlapping regions and distinctions within their solution spaces highlighted using data points. To analyze the characteristics of these interaction solutions, the results are visually illustrated through 3D and 2D plots. Through this study, significant contributions are made to soliton theory and nonlinear wave research, enhancing the theoretical framework and introducing innovative methods for analyzing wave dynamics. [GRAPHICS] .

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

21100 - Other engineering and technologies

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

Nonlinear Dynamics

ISSN

0924-090X

e-ISSN

1573-269X

Svazek periodika

113

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

30

Strana od-do

8921-8950

Kód UT WoS článku

001378844800001

EID výsledku v databázi Scopus

2-s2.0-105001065470