New abundant analytical solutions of coupled nonlinear Schrödinger (FNSE) equation in fractal order arising in quantum mechanics

Alshahrani, Maryam; Ouahid, Loubna; Abdou, M. A.; Kumar, Sachin; Al Shahrani, Jameelah S.

doi:10.1007/s11082-024-06378-8

Opt Quant Electron

2024

DOI: 10.1007/s11082-024-06378-8

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New abundant analytical solutions of coupled nonlinear Schrödinger (FNSE) equation in fractal order arising in quantum mechanics

Maryam Alshahrani,

Loubna Ouahid,

M. A. Abdou

et al.

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2024

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Cited by 3 publications

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Bifurcation, Chaotic Behavior and Effects of Noise on the Solitons for the Stochastic Jaulent-Miodek Hierarchy Model

Baber,

Shahzad,

Munir

et al. 2024

Int J Theor Phys

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Bifurcation, Chaotic Behavior and Effects of Noise on the Solitons for the Stochastic Jaulent-Miodek Hierarchy Model

Baber,

Shahzad,

Munir

et al. 2024

Int J Theor Phys

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Novel exact wave solutions of the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli model via application of three mathematical methods

Seadway,

Ali,

Bekir

et al. 2024

Opt Quant Electron

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Novel stochastic multi breather type, a-periodic, hybrid periodic and other type of waves of the Shrödinger–Hirota model with Wiener process

Al-Essa,

ur Rahman

2024

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The current manuscript elaborate a novel characteristic of stochastic multi breather type, periodic, hybrid periodic and different type of waves solutions for the Shrödinger-Hirota (SH) equation.The mentioned equation is studied by a Wiener process and white noise which is used for the sudden and large-scale fluctuation. By applying the wave transformation technique the considered equation is transformed into ordinary differential equations, gives meaningful analysis. From the solution of the SH equation various type of results, including soliton, dark, bright, hybrid and periodic solitons. To visually capture these intricate behaviors, we employ MATLAB tools to generate 2D and 3D graphs of the analytical stochastic solutions. This combination of mathematical rigor and numerical simulations provides a comprehensive understanding of the phenomena under study, making a valuable contribution to the field of nonlinear wave equations and stochastic processes.

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New abundant analytical solutions of coupled nonlinear Schrödinger (FNSE) equation in fractal order arising in quantum mechanics

Cited by 3 publications

References 49 publications

Bifurcation, Chaotic Behavior and Effects of Noise on the Solitons for the Stochastic Jaulent-Miodek Hierarchy Model

Bifurcation, Chaotic Behavior and Effects of Noise on the Solitons for the Stochastic Jaulent-Miodek Hierarchy Model

Novel exact wave solutions of the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli model via application of three mathematical methods

Novel stochastic multi breather type, a-periodic, hybrid periodic and other type of waves of the Shrödinger–Hirota model with Wiener process

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