Chiral solitons of the (1 + 2)-dimensional nonlinear Schrodinger’s equation

Javid, Ahmad; Raza, Nauman

doi:10.1142/s0217984919504013

Cited by 24 publications

(11 citation statements)

References 60 publications

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“…Hosseini et al [12] also applied this method to seek exact solutions of a 2D nonlinear Schrödinger system. More articles can be found in [20][21][22][23][24][25][26][27][28][29]. This paper is organized as follows: Section 2 presents an outline of the modified Kudryashov method along with several useful remarks.…”

Section: Introductionmentioning

confidence: 99%

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

Hosseini¹,

Mirzazadeh²,

Dehingia³

et al. 2022

Nelin. Dinam.

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In the present paper, the authors are interested in studying a famous nonlinear PDE referred 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.

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Section: Introductionmentioning

confidence: 99%

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

Hosseini¹,

Mirzazadeh²,

Dehingia³

et al. 2022

Nelin. Dinam.

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“…29 On the other hand, the nonlinear Chen-Lee-Liu equation in fractal form has been introduced to investigate the optical nonlinear pulses features in optics applications. 33 We consider the (2 + 1)-dimensional CNLSE as follows 34,35…”

Section: Introductionmentioning

confidence: 99%

“…We consider the (2 + 1)-dimensional CNLSE as follows 34,35 where Θ = Θ( x , y , t ) is a complex function and the superscript * denotes the complex conjugate. α denotes the coefficient of dispersion.…”

Section: Introductionmentioning

confidence: 99%

Effects of Brownian noise strength on new chiral solitary structures

Yousef

El-Shewy

Abdelrahman

2022

Journal of Low Frequency Noise, Vibration and Active Control

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In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum. The CNLSE with multiplicative noise effects is studied as dynamical system to specify the acceptable solution types and then solved by unified solver method. The presented solutions are periodic envelopes, explosive, dissipative, symmetric solitons, and blow up waves. It was confirmed that the noise factor is dominant on all the wave conversion, growing and damping of envelopes and shocks. The presented technique in this study can be easily utilized for other nonlinear equations in applied science. Mathematics Subject Classification (2010): 35C08, 65C20, 60H15, 35Q40, 35Q55, 35Q62

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“…Solitary waves play an important role in the non-perturbative developments in the quantum field theory. Recently, the CNLSE has been analyzed by a number of effective approaches [1,4,5,7,10,12,17,19,20,23,28,37] which provide effective outcomes in diverse areas of nonlinear sciences.…”

Section: Introductionmentioning

confidence: 99%

New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation

Rezazadeh

Younis

Shafqat-Ur-Rehman

et al. 2021

Math. Model. Nat. Phenom.

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In this research work, we successfully construct various kinds of exact traveling wave solutions such as trigonometric like, singular and periodic wave solutions as well as hyperbolic solutions to the (2+1)-dimensional Chiral nonlinear Schröginger equation (CNLSE) which is used as a governing equation to discuss the wave in the quantum field theory. The mechanisms which are used to obtain these solutions are extended rational sine- cosine/sinh-cosh and the constraint conditions for the existence of valid solutions are also given. The attained results exhibit that the proposed techniques are the significant addition for exploring several types of nonlinear partial differential equations in applied sciences. Moreover, 3D and contour profiles are depicted for showing the physical behaviour of the reported solutions by setting suitable values of unknown parameters

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Chiral solitons of the (1 + 2)-dimensional nonlinear Schrodinger’s equation

Cited by 24 publications

References 60 publications

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

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

Effects of Brownian noise strength on new chiral solitary structures

New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation

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