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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

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

Name of the periodical

EUROPEAN PHYSICAL JOURNAL PLUS

ISSN

2190-5444

e-ISSN

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Volume of the periodical

136

Issue of the periodical within the volume

10

Country of publishing house

DE - GERMANY

Number of pages

17

Pages from-to

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UT code for WoS article

000712974000004

EID of the result in the Scopus database

2-s2.0-85118320392