A nonlinear fractional Sharma-Tasso-Olver equation: new exact solutions

DOI10.1016/j.amc.2015.05.074zbMath1410.35274OpenAlexW596013371MaRDI QIDQ669372

Juan-Miguel Gracia

Publication date: 15 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.074

zbMATH Keywords

exact solutionsMathematicafractional complex transformimproved generalized tanh-coth methodnonlinear fractional Sharma-Tasso-Olver equation

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items (6)

Exact traveling wave solutions of the space-time fractional complex Ginzburg-Landau equation and the space-time fractional Phi-4 equation using reliable methods ⋮ Bright and singular soliton solutions of the conformable time-fractional Klein–Gordon equations with different nonlinearities ⋮ On exact solutions of some important nonlinear conformable time-fractional differential equations ⋮ General traveling wave solutions of nonlinear conformable fractional Sharma-Tasso-Olever equations and discussing the effects of the fractional derivatives ⋮ Two reliable methods for solving the (3 + 1)-dimensional space-time fractional Jimbo-Miwa equation ⋮ On the analytical solutions of conformable time-fractional extended Zakharov-Kuznetsov equation through \((G'/G^{2})\)-expansion method and the modified Kudryashov method

Cites Work

• Interior Hölder and gradient estimates for the homogenization of the linear elliptic equations
• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• The first integral method for some time fractional differential equations
• The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
• Special symmetries to standard Riccati equations and applications
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Exp-function method exactly solving a KdV equation with forcing term
• The Cole-Hopf transformation and improved tanh-coth method applied to new integrable system (KdV6)

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