Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrodinger equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00382606" target="_blank" >RIV/68407700:21340/21:00382606 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1140/epjp/s13360-021-02092-6" target="_blank" >https://doi.org/10.1140/epjp/s13360-021-02092-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjp/s13360-021-02092-6" target="_blank" >10.1140/epjp/s13360-021-02092-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrodinger equations

Popis výsledku v původním jazyce

In this paper, the two-dimensional generalized nonlinear Schrodinger equations are introduced with the Lax pair. The existence of the Lax pair defines integrability for the partial differential equation, so the two-dimensional generalized nonlinear Schrodinger equations are integrable. Related to this development was the understanding that certain coherent structures called solitons play a basic role in nonlinear phenomena as fluid mechanics, nonlinear optics relativity, and lattice dynamics. Via the Hirota bilinear method, bilinear forms of the two-dimensional generalized nonlinear Schrodinger equations are obtained. Based on which one- and two-soliton solutions are derived. Furthermore, to find traveling wave solutions the extended tanh method is applied. Through 2D and 3D plots, the dynamical behavior of the obtained solutions is studied. The generalized form of the nonlinear Schrodinger equations has a mathematical and physical interest because a fundamental model in the field of nonlinear science. The used methods are quite useful in the solution of nonlinear partial differential equations.

Název v anglickém jazyce

Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrodinger equations

Popis výsledku anglicky

In this paper, the two-dimensional generalized nonlinear Schrodinger equations are introduced with the Lax pair. The existence of the Lax pair defines integrability for the partial differential equation, so the two-dimensional generalized nonlinear Schrodinger equations are integrable. Related to this development was the understanding that certain coherent structures called solitons play a basic role in nonlinear phenomena as fluid mechanics, nonlinear optics relativity, and lattice dynamics. Via the Hirota bilinear method, bilinear forms of the two-dimensional generalized nonlinear Schrodinger equations are obtained. Based on which one- and two-soliton solutions are derived. Furthermore, to find traveling wave solutions the extended tanh method is applied. Through 2D and 3D plots, the dynamical behavior of the obtained solutions is studied. The generalized form of the nonlinear Schrodinger equations has a mathematical and physical interest because a fundamental model in the field of nonlinear science. The used methods are quite useful in the solution of nonlinear partial differential equations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

EUROPEAN PHYSICAL JOURNAL PLUS

ISSN

2190-5444

e-ISSN

—

Svazek periodika

136

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

17

Strana od-do

—

Kód UT WoS článku

000712974000004

EID výsledku v databázi Scopus

2-s2.0-85118320392