Analytical insights into the (3+1)-dimensional Boussinesq equation: A dynamical study of interaction solitons

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255714" target="_blank" >RIV/61989100:27740/24:10255714 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S2211379724004741" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2211379724004741</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.rinp.2024.107790" target="_blank" >10.1016/j.rinp.2024.107790</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analytical insights into the (3+1)-dimensional Boussinesq equation: A dynamical study of interaction solitons

Popis výsledku v původním jazyce

The Boussinesq equation has drawn significant interest in models for coastline and oceanic engineering, as it can simulate various phenomena such as shallow water waves and harbors, tsunami transmission, and near-shore wave mechanisms. This study examines different approaches for solving the (3+1)-dimensional integrable Boussinesq equation. For this purpose, the Bäcklund transformation is derived by utilizing the Hirota bilinear representation. The understanding of the equation is improved by this transformation, which yields solutions for exponential functions. Furthermore, the model&apos;s bilinear form is used to construct its two-, three-, and multi-wave solutions. The features and behavior of the wave solutions to the equation are clarified by this investigation. Additionally, the concerned equation is transformed into an ordinary differential equation by means of a traveling wave transformation, and the results consisting of solutions for rational and polynomial functions are extracted by means of the unified technique. The graphical representations are an essential visual assistance for comprehending the intricate dynamics and behaviors displayed by the governing equation&apos;s solutions. (C) 2024 The Author(s)

Název v anglickém jazyce

Analytical insights into the (3+1)-dimensional Boussinesq equation: A dynamical study of interaction solitons

Popis výsledku anglicky

The Boussinesq equation has drawn significant interest in models for coastline and oceanic engineering, as it can simulate various phenomena such as shallow water waves and harbors, tsunami transmission, and near-shore wave mechanisms. This study examines different approaches for solving the (3+1)-dimensional integrable Boussinesq equation. For this purpose, the Bäcklund transformation is derived by utilizing the Hirota bilinear representation. The understanding of the equation is improved by this transformation, which yields solutions for exponential functions. Furthermore, the model&apos;s bilinear form is used to construct its two-, three-, and multi-wave solutions. The features and behavior of the wave solutions to the equation are clarified by this investigation. Additionally, the concerned equation is transformed into an ordinary differential equation by means of a traveling wave transformation, and the results consisting of solutions for rational and polynomial functions are extracted by means of the unified technique. The graphical representations are an essential visual assistance for comprehending the intricate dynamics and behaviors displayed by the governing equation&apos;s solutions. (C) 2024 The Author(s)

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Results in Physics

ISSN

2211-3797

e-ISSN

2211-3797

Svazek periodika

61

Číslo periodika v rámci svazku

June

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

13

Strana od-do

—

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85194364522