K. Hosseini, M. Mirzazadeh, K. Dehingia, A. Das, S. Salahshour, “A Study of Different Wave Structures of the <nobr>$(2 + 1)$</nobr>-dimensional Chiral Schrödinger Equation”, Rus. J. Nonlin. Dyn., 2022, Volume 18, Number 2,Pages <nobr>231

Nonlinear physics and mechanics

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

K. Hosseini^ab, M. Mirzazadeh^c, K. Dehingia^d, A. Das^e, S. Salahshour^f

^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

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.

MSC: 34K99, 35C08

Received: 17.09.2021
Accepted: 16.04.2022

Language: english

DOI: 10.20537/nd220206