Study on the Biswas-Arshed equation with the beta time derivative

DOI10.1007/S40819-022-01350-0zbMath1492.35406OpenAlexW4283318221MaRDI QIDQ2149406

Arzu Akbulut, S. M. Rayhanul Islam

Publication date: 28 June 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-022-01350-0

zbMATH Keywords

improved \(F\)-expansion methodmodified extended auxiliary equation mapping methodbeta derivativeBiswas-Arshed equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items (1)

A new version of the generalized F-expansion method for the fractional Biswas-Arshed equation and Boussinesq equation with the beta-derivative

Cites Work

• Application of the improved \(F\)-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solitary wave solutions of time-space nonlinear fractional Schrödinger's equation: two analytical approaches
• On three-dimensional variable order time fractional chaotic system with nonsingular kernel
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• Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel
• Soliton solutions of high-order nonlinear Schrödinger equations with different laws of nonlinearities
• The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs
• An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense
• New optical soliton solutions of Biswas–Arshed model with Kerr law nonlinearity
• The improved F-expansion method with Riccati equation and its applications in mathematical physics
• The improved F-expansion method and its application to the MEE circular rod equation and the ZKBBM equation

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