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\begin{document}

\title{New expectations to soliton arising from the (2+1)-dimensional
generalized coupled nonlinear Schr\selectlanguage{ngerman}ödinger equation with four waves
mixing via three different techniques\selectlanguage{english}}



\author[1]{Emad Zahran}%
\author[2]{Ahmet Bekir}%
\affil[1]{Benha University}%
\affil[2]{Eskisehir}%


\vspace{-1em}



  
  \date{May 26, 2024}


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\selectlanguage{english}
\begin{abstract}
From the point of view of three famous and important techniques we will
achieve new expectations for the soliton configurations to the
(2+1)-dimensional generalized nonlinear Schr\selectlanguage{ngerman}ödinger equation (GNLSE)
with four waves mixing (FWM). The suggested model describes propagation
of solitons in birefringent fiber. The FWM governed effectively the
performance of the resultant soliton amplitudes. The three famous
methods candidates for this purpose are the extended direct algebraic
method (EDAM), the extended simple equation method(ESEM) and the
solitary wave ansatz method (SWAM). The three techniques are implemented
successively for the suggested model successfully. Surprise expectations
for solitons via these three techniques to this model which weren't
achieved previously by any other authors who used other techniques have
been demonstrated.%
\end{abstract}\selectlanguage{ngerman}%



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