Abundant new optical solitary waves of paraxial wave dynamical model with kerr media via new extended direct algebraic method

Yasin, Sadia; Khan, Meraj Ali; Ahmad, Shabir; Aldosary, Saud Fahad

doi:10.1007/s11082-024-06845-2

Opt Quant Electron

2024

DOI: 10.1007/s11082-024-06845-2

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Abundant new optical solitary waves of paraxial wave dynamical model with kerr media via new extended direct algebraic method

Sadia Yasin,

Meraj Ali Khan,

Shabir Ahmad

et al.

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Cited by 3 publications

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Novel hybrid waves solutions of Sawada–Kotera like integrable model arising in fluid mechanics

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Alqarni,

Aldwoah

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Alexandria Engineering Journal

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Novel hybrid waves solutions of Sawada–Kotera like integrable model arising in fluid mechanics

Saber,

Alqarni,

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Alexandria Engineering Journal

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Optical solitons solution for the perturbed nonlinear Schrödinger’s equation

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Exploring Soliton Solutions and Chaotic Dynamics in the (3+1)-Dimensional Wazwaz–Benjamin–Bona–Mahony Equation: A Generalized Rational Exponential Function Approach

Hamza,

Suhail,

Alsulami

et al. 2024

Fractal Fract

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This paper investigates the explicit, accurate soliton and dynamic strategies in the resolution of the Wazwaz–Benjamin–Bona–Mahony (WBBM) equations. By exploiting the ensuing wave events, these equations find applications in fluid dynamics, ocean engineering, water wave mechanics, and scientific inquiry. The two main goals of the study are as follows: Firstly, using the dynamic perspective, examine the chaos, bifurcation, Lyapunov spectrum, Poincaré section, return map, power spectrum, sensitivity, fractal dimension, and other properties of the governing equation. Secondly, we use a generalized rational exponential function (GREF) technique to provide a large number of analytical solutions to nonlinear partial differential equations (NLPDEs) that have periodic, trigonometric, and hyperbolic properties. We examining the wave phenomena using 2D and 3D diagrams along with a projection of contour plots. Through the use of the computational program Mathematica, the research confirms the computed solutions to the WBBM equations.

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Abundant new optical solitary waves of paraxial wave dynamical model with kerr media via new extended direct algebraic method

Cited by 3 publications

References 58 publications

Novel hybrid waves solutions of Sawada–Kotera like integrable model arising in fluid mechanics

Novel hybrid waves solutions of Sawada–Kotera like integrable model arising in fluid mechanics

Optical solitons solution for the perturbed nonlinear Schrödinger’s equation

Exploring Soliton Solutions and Chaotic Dynamics in the (3+1)-Dimensional Wazwaz–Benjamin–Bona–Mahony Equation: A Generalized Rational Exponential Function Approach

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