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Russian Journal of Nonlinear Dynamics, 2022, Volume 18, Number 2, Pages 231–241
DOI: https://doi.org/10.20537/nd220206 (Mi nd789) 		 
Nonlinear physics and mechanics

A Study of Different Wave Structures of the $(2 + 1)$-dimensional Chiral Schrödinger Equation

K. Hosseiniab, M. Mirzazadehc, K. Dehingiad, A. Dase, S. Salahshourf

a Department of Mathematics, Near East University TRNC, Mersin 10, Nicosia 99138, Turkey
b Department of Mathematics, Rasht Branch, Islamic Azad University, P.O. Box 41335-3516 Rasht, Iran
c Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157 Rudsar-Vajargah, Iran
d Department of Mathematics, Sonari College, Sonari 785690, Assam, India
e Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India
f Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul 34349, Turkey
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DOI: https://doi.org/10.20537/nd220206
Abstract: In the present paper, the authors are interested in studying a famous nonlinear PDE re- ferred to as the $(2 + 1)$-dimensional chiral Schrödinger (2D-CS) equation with applications in mathematical physics. In this respect, the real and imaginary portions of the 2D-CS equation are firstly derived through a traveling wave transformation. Different wave structures of the 2D-CS equation, classified as bright and dark solitons, are then retrieved using the modified Kudryashov (MK) method and the symbolic computation package. In the end, the dynamics of soliton solutions is investigated formally by representing a series of 3D-plots.
Keywords: $(2 + 1)$-dimensional chiral Schrödinger equation, traveling wave transformation, modified Kudryashov method, different wave structures.
Received: 17.09.2021
Accepted: 16.04.2022
Bibliographic databases:
Document Type: Article
MSC: 34K99, 35C08
Language: english
Citation: K. Hosseini, M. Mirzazadeh, K. Dehingia, A. Das, S. Salahshour, “A Study of Different Wave Structures of the $(2 + 1)$-dimensional Chiral Schrödinger Equation”, Rus. J. Nonlin. Dyn., 18:2 (2022), 231–241
Citation in format AMSBIB
\Bibitem{HosMirDeh22}
\by K.~Hosseini, M.~Mirzazadeh, K.~Dehingia, A.~Das, S.~Salahshour
\paper A Study of Different Wave Structures of the
$(2 + 1)$-dimensional Chiral Schrödinger Equation
\jour Rus. J. Nonlin. Dyn.
\yr 2022
\vol 18
\issue 2
\pages 231--241
\mathnet{http://mi.mathnet.ru/nd789}
\crossref{https://doi.org/10.20537/nd220206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4445318}
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