Lumps, solitons, modulation instability and stability analysis for the novel generalized (2+1)-dimensional nonlinear model arising in shallow water

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257898" target="_blank" >RIV/61989100:27740/25:10257898 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S1110016825004181" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1110016825004181</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aej.2025.03.110" target="_blank" >10.1016/j.aej.2025.03.110</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Lumps, solitons, modulation instability and stability analysis for the novel generalized (2+1)-dimensional nonlinear model arising in shallow water

Popis výsledku v původním jazyce

In this study, the (2+1)-dimensional Kadomtsev-Petviashvili type equation is investigated that describes the nonlinear wave patterns of behavior and properties in oceanography, fluid dynamics, and shallow water. Firstly, the Hirota bilinear form is implemented to develop a variety of lump, strip soliton and periodic waves solutions for the governing model. Furthermore, some interesting traveling and semi-analytical solitons are generated by availing the extended modified auxiliary equation mapping technique and the Adomian decomposition algorithm. Moreover, in order to determine the absolute error, we have constructed a juxtapose of approximate and soliton results. Additionally, we deliberate the stability analysis and the modulation instability for the governing model extensively to validate the scientific computations. Moreover, the graphical portrayals which include contour plots, 2D and 3D models are illustrated that are useful for understanding the behaviors and dynamics presented by the model&apos;s solutions. The findings of current study are quite novel and make a big contribution to soliton dynamics and mathematical physics.

Název v anglickém jazyce

Lumps, solitons, modulation instability and stability analysis for the novel generalized (2+1)-dimensional nonlinear model arising in shallow water

Popis výsledku anglicky

In this study, the (2+1)-dimensional Kadomtsev-Petviashvili type equation is investigated that describes the nonlinear wave patterns of behavior and properties in oceanography, fluid dynamics, and shallow water. Firstly, the Hirota bilinear form is implemented to develop a variety of lump, strip soliton and periodic waves solutions for the governing model. Furthermore, some interesting traveling and semi-analytical solitons are generated by availing the extended modified auxiliary equation mapping technique and the Adomian decomposition algorithm. Moreover, in order to determine the absolute error, we have constructed a juxtapose of approximate and soliton results. Additionally, we deliberate the stability analysis and the modulation instability for the governing model extensively to validate the scientific computations. Moreover, the graphical portrayals which include contour plots, 2D and 3D models are illustrated that are useful for understanding the behaviors and dynamics presented by the model&apos;s solutions. The findings of current study are quite novel and make a big contribution to soliton dynamics and mathematical physics.

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

Alexandria Engineering Journal

ISSN

1110-0168

e-ISSN

2090-2670

Svazek periodika

126

Číslo periodika v rámci svazku

July

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

45-52

Kód UT WoS článku

001482161600001

EID výsledku v databázi Scopus

2-s2.0-105003139969