Geodesic
A Study of Different Wave Structures of the
Russian journal of nonlinear dynamics, Tome 18 (2022) no. 2, pp. 231-241

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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: traveling wave transformation, modified Kudryashov method, different wave structures.
Mots-clés : $(2 + 1)$-dimensional chiral Schrödinger equation 
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K. Hosseini; M. Mirzazadeh; K. Dehingia; A. Das; S. Salahshour. A Study of Different Wave Structures of the. Russian journal of nonlinear dynamics, Tome 18 (2022) no. 2, pp. 231-241. http://geodesic.mathdoc.fr/item/ND_2022_18_2_a5/