On the analytical and numerical solutions in the quantum magnetoplasmas: the Atangana conformable derivative \((1+3)\)-ZK equation with power-law nonlinearity

DOI10.1155/2020/5809289zbMath1478.35177OpenAlexW3088415521WikidataQ114846873 ScholiaQ114846873MaRDI QIDQ2246112

Dianchen Lu, Raghda A. M. Attia, Mustafa Inc, Mostafa M. A. Khater, Yu-Ming Chu

Publication date: 15 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5809289

zbMATH Keywords

power-law nonlinearityquantum magnetoplasmas

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Perturbations in context of PDEs (35B20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Soliton solutions (35C08) Fractional partial differential equations (35R11) Special quantum systems, such as solvable systems (81Q80)

Related Items (4)

OPTICAL SOLITON WAVE SOLUTIONS OF THE FRACTIONAL COMPLEX PARAXIAL WAVE DYNAMICAL MODEL ALONG WITH KERR MEDIA ⋮ Conformable fractional derivative in commutative algebras ⋮ Generalized conformable mean value theorems with applications to multivariable calculus ⋮ Wave propagation behavior in nonlinear media and resonant nonlinear interactions

Cites Work

• Unnamed Item
• Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
• New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity via modified trigonometric function series method
• The modified \(\frac {G \prime}{G}\)-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
• New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
• Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms
• New solutions for the unstable nonlinear Schrödinger equation arising in natural science
• On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory
• Theory and application for the system of fractional Burger equations with Mittag Leffler kernel
• A Note on Exact Traveling Wave Solutions of the Perturbed Nonlinear Schrödinger's Equation with Kerr Law Nonlinearity
• Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative
• Novel soliton waves of two fluid nonlinear evolutions models in the view of computational scheme
• New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics
• Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana's-conformable derivative using sub-equation method
• Dynamics of sheath evolution in magnetized charge-fluctuating dusty plasmas

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