Solitary pattern solutions for fractional Zakharov-Kuznetsov equations with fully nonlinear dispersion

DOI10.1016/j.aml.2011.10.016zbMath1241.35215OpenAlexW2029931771MaRDI QIDQ429204

Khosro Sayevand, Ahmad Golbabai

Publication date: 26 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.10.016

zbMATH Keywords

homotopy perturbation methodfractional Zakharov-Kuznetsov equationsJumarie fractional derivative

Mathematics Subject Classification ID

Applications to the sciences (65Z05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

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Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Solving a fractional order model of HIV infection of \(CD4^{+}\) T cells
• Homotopy perturbation method for nonlinear partial differential equations of fractional order
• Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain
• Analytical treatment of differential equations with fractional coordinate derivatives
• Recent history of fractional calculus
• Construction of a solitary wave solution for the generalized Zakharov equation by a variational iteration method
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• Kinematics of an offset 3-UPU translational parallel manipulator by the homotopy continuation method
• Convergence of the homotopy perturbation method for partial differential equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• Homotopy perturbation technique
• Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives
• Application of He's homotopy perturbation method for \(n\)th-order integro-differential equations
• New soliton solutions of the generalized Zakharov equations using He's variational approach
• Exact solutions with solitary patterns for the Zakharov-Kuznetsov equations with fully nonlinear dispersion
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Application of fractional derivatives in thermal analysis of disk brakes
• Nonlinear fractional-order viscoelasticity at large strains
• Reliable analysis for the nonlinear fractional calculus model of the semilunar heart valve vibrations
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity

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