Study of Stochastic–Fractional Drinfel’d–Sokolov–Wilson Equation for M-Shaped Rational, Homoclinic Breather, Periodic and Kink-Cross Rational Solutions

Autor:	Shami A. M. Alsallami, Syed T. R. Rizvi, Aly R. Seadawy
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	breathers periodic cross-kink homoclinic breather M-shaped solution cross-kink rational solution Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 6, p 1504 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11061504
Popis:	We explore stochastic–fractional Drinfel’d–Sokolov–Wilson (SFDSW) equations for some wave solutions such as the cross-kink rational wave solution, periodic cross-rational wave solution and homoclinic breather wave solution. We also examine some M-shaped solutions such as the M-shaped rational solution, M-shaped rational solution with one and two kink waves. We also derive the M-shaped interaction with rogue and kink waves and the M-shaped interaction with periodic and kink waves. This model is used in mathematical physics, surface physics, plasma physics, population dynamics and applied sciences. Moreover, we also show our results graphically in different dimensions. We obtain these solutions under some constraint conditions.
Databáze:	Directory of Open Access Journals
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