On soliton solutions of time fractional form of Sawada-Kotera equation

DOI10.1007/s11071-018-4571-9zbMath1439.35423OpenAlexW2894287380MaRDI QIDQ785306

Usman Afzal, Isma Ghulam Murtaza, Nauman Raza

Publication date: 6 August 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4571-9

zbMATH Keywords

soliton solutionsCaputo fractional derivativeHirota's methodtrial equation methodfifth-order Sawada-Kotera equationresidual power series method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08) Fractional partial differential equations (35R11)

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Cites Work

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• New results on fractional power series: theories and applications
• A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
• The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• On affine Sawada-Kotera equation.
• Paradox of enrichment: a fractional differential approach with memory
• A simple transformation for nonlinear waves.
• Analytical solutions of fractional foam drainage equation by residual power series method
• A representation of the exact solution of generalized Lane-Emden equations using a new analytical method
• On multi-soliton solutions for the \((2+1)\)-dimensional breaking soliton equation with variable coefficients in a graded-index waveguide
• A novel analytical method with fractional complex transform for new exact solutions of time-fractional fifth-order Sawada-Kotera equation
• Exact soliton solutions for the fifth-order Sawada-Kotera equation
• Nonlinear interaction of solitary waves described by multi-rational wave solutions of the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficients
• An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Some solutions for a type of generalized Sawada-Kotera equation
• Extended tanh-function method and its applications to nonlinear equations
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• ANALYTICAL SOLUTION OF TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 BY RESIDUAL POWER SERIES METHOD
• Exact envelope-soliton solutions of a nonlinear wave equation
• A numerical study of Ito equation and Sawada-Kotera equation both of time-fractional type