Abundant analytical solutions of the fractional nonlinear (2 + 1)-dimensional BLMP equation arising in incompressible fluid

DOI10.1142/S0217979220500848zbMath1439.35412MaRDI QIDQ5115581

Mostafa M. A. Khater, Chen Yue, Raghda A. M. Attia, Mustafa Inc, Dianchen Lu

Publication date: 16 August 2020

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

stability propertymodified Khater (mK) method\( \mathcal{ABR}\) fractional operatorfractional nonlinear \((2+1)\)-dimensional BLMP equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Other special methods applied to PDEs (35A25) Soliton solutions (35C08) Fractional partial differential equations (35R11)

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Cites Work

• New and more exact traveling wave solutions to integrable (2+1)-dimensional Maccari system
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• Approximate analytical solution for the fractional modified Kdv by differential transform method
• The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
• Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
• Exp-function method for fractional differential equations
• On fractional calculus with general analytic kernels
• Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
• Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives

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