New approach to find exact solutions of time-fractional Kuramoto-Sivashinsky equation

DOI10.1016/j.physa.2015.04.018zbMath1400.35225OpenAlexW2023107300MaRDI QIDQ1618578

S. Sahoo, Santanu Saha Ray

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2015.04.018

zbMATH Keywords

modified Riemann-Liouville derivativetanh methodfractional complex transformtime-fractional Kuramoto-Sivashinsky equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items (12)

The two variable \((\phi^\prime/\phi, 1/\phi)\)-expansion method for solving the time-fractional partial differential equations ⋮ Fractional Kuramoto-Sivashinsky equation with power law and stretched Mittag-Leffler kernel ⋮ Solution for fractional Kuramoto-Sivashinsky equation using novel computational technique ⋮ Efficient numerical schemes for the solution of generalized time fractional Burgers type equations ⋮ ROBUST IMPLICIT DIFFERENCE APPROACH FOR THE TIME-FRACTIONAL KURAMOTO–SIVASHINSKY EQUATION WITH THE NON-SMOOTH SOLUTION ⋮ Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines ⋮ Solitons and other solutions of the nonlinear fractional zoomeron equation ⋮ Symmetry reductions of a generalized Kuramoto-Sivashinsky equation via equivalence transformations ⋮ Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity ⋮ Asymptotic expansion of the solutions to time-space fractional Kuramoto-Sivashinsky equations ⋮ New exact solutions of nonlinear fractional acoustic wave equations in ultrasound ⋮ Bifurcations and Exact Solutions for a Class of MKdV Equations with the Conformable Fractional Derivative via Dynamical System Method

Cites Work

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• Fractional complex transform and exp-function methods for fractional differential equations
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
• Solitary wave solutions of nonlinear wave equations

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