Time-fractional nonlinear dispersive type of the Zakharov-Kuznetsov equation via HAFSTM

DOI10.1007/s40010-020-00672-2zbMath1490.35521OpenAlexW3008243023MaRDI QIDQ2052248

Rishi Kumar Pandey, Hradyesh Kumar Mishra

Publication date: 25 November 2021

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-020-00672-2

zbMATH Keywords

Caputo derivativefractional partial differential equationfractional Zakharov-Kuznetsov equationshomotopy analysis fractional Sumudu transform method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

Uses Software

• BVPh

Cites Work

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• Approximate solutions to time-fractional Schrödinger equation via homotopy analysis method
• Variational iteration method for the time-fractional Fornberg-Whitham equation
• Numerical computation of nonlinear fractional Zakharov-Kuznetsov equation arising in ion-acoustic waves
• Novel techniques in parameter estimation for fractional dynamical models arising from biological systems
• Homotopy analysis method for higher-order fractional integro-differential equations
• Application of homotopy analysis method for fractional Swift Hohenberg equation -- revisited
• Approximate solutions of fractional Zakharov-Kuznetsov equations by VIM
• Sumudu transform fundamental properties investigations and applications
• Homotopy analysis method for solving multi-term linear and nonlinear diffusion-wave equations of fractional order
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Conservation laws of space-time fractional mZK equation for Rossby solitary waves with complete Coriolis force
• Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations
• Study of ion-acoustic solitary waves in a magnetized plasma using the three-dimensional time-space fractional Schamel-KdV equation
• Analysis of Lie symmetries with conservation laws and solutions for the generalized (3 + 1)-dimensional time fractional Camassa-Holm-Kadomtsev-Petviashvili equation
• Time-fractional Benjamin-Ono equation for algebraic gravity solitary waves in baroclinic atmosphere and exact multi-soliton solution as well as interaction
• Homotopy analysis Sumudu transform method for time-fractional third order dispersive partial differential equation
• Exact solutions with solitary patterns for the Zakharov-Kuznetsov equations with fully nonlinear dispersion
• Approximate analytical solution for the Zakharov-Kuznetsov equations with fully nonlinear dispersion
• A polynomial expansion method and its application in the coupled Zakharov-Kuznetsov equations
• A Central Difference Numerical Scheme for Fractional Optimal Control Problems
• Analytical Approach to Fractional Zakharov–Kuznetsov Equations by He's Homotopy Perturbation Method
• Homotopy Analysis Method in Nonlinear Differential Equations
• The fundamental solution of the space-time fractional diffusion equation
• The time-fractional mZK equation for gravity solitary waves and solutions using sech-tanh and radial basis function method
• Modeling and analysis of fractional neutral disturbance waves in arterial vessels
• Definition of Physically Consistent Damping Laws with Fractional Derivatives

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