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Solitary wave solutions of Sawada-Kotera equation using two efficient analytical methods

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F23%3A10253750" target="_blank" >RIV/61989100:27740/23:10253750 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.aimspress.com/article/doi/10.3934/math.20231601" target="_blank" >https://www.aimspress.com/article/doi/10.3934/math.20231601</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3934/math.20231601" target="_blank" >10.3934/math.20231601</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Solitary wave solutions of Sawada-Kotera equation using two efficient analytical methods

  • Original language description

    Correspondence: muhammad.abbas@uos.edu.pk; Abstract: The soliton solutions are one of the stable solutions where nonlinearity and dispersion are perfectly balanced. They are used in a wide variety of physical fields, including plasma, solid state, neuronal, biological production, and diffusion processes. Different analytical methods have been used until now to obtain the soliton solutions of the Sawada-Kotera (SK) equation. The purpose of this study is to offer two successful analytical methods for solving the classical (1+1) dimensional Sawada-Kotera (SK) equation. In order to solve the partial differential equation (PDE), both the modified auxiliary equation method (MAEM) and the extended direct algebraic method are applied. The classical fifth-order SK equation is examined in this study, leading to a variety of precise soliton solutions, including single, periodic, and dark soliton, which are obtained analytically. To illustrate the effect of the parameters, the results are shown in graphical form.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10100 - Mathematics

Result continuities

  • Project

  • Continuities

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    AIMS Mathematics

  • ISSN

    2473-6988

  • e-ISSN

    2473-6988

  • Volume of the periodical

    8

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    25

  • Pages from-to

    31268-31292

  • UT code for WoS article

    001130553900001

  • EID of the result in the Scopus database