A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order
DOI10.1186/s13662-020-02751-5zbMath1485.35382OpenAlexW3036408719WikidataQ115376366 ScholiaQ115376366MaRDI QIDQ2116109
Saima Akram, Moin-ud-Din Junjua, Abdul Ghaffar, Sarfaraz Ahmed, Ayyaz Ali, Kottakkaran Sooppy Nisar, Dumitru Baleanu
Publication date: 16 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02751-5
fractional calculussolitary wave solutionsCaputo's derivative of fractional orderextended rational \(\exp ((\frac{\psi'}{\psi})(\eta))\)-expansion methodsimplified modified Camassa-Holm (SMCH) equation
Fractional derivatives and integrals (26A33) Soliton equations (35Q51) Solitary waves in solid mechanics (74J35) Soliton solutions (35C08) Fractional partial differential equations (35R11)
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Cites Work
- On Riemann-Liouville and Caputo derivatives
- Application of \(\frac{G^{\prime }}{G}\)-expansion method to two nonlinear evolution equations
- Solitary wave solutions to the modified form of Camassa-Holm equation by means of the homotopy analysis method
- New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
- Fractional complex transform and exp-function methods for fractional differential equations
- Exact wave solutions to the simplified modified Camassa-Holm equation in mathematical physics
- New results on Caputo fractional-order neutral differential inclusions without compactness
- A new investigation on fractional-ordered neutral differential systems with state-dependent delay
- Ion acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equation in quantum plasma
- He's homotopy perturbation method for solving the fractional KdV‐Burgers‐Kuramoto equation
- An integrable shallow water equation with peaked solitons
- Three-Dimensional Weakly Nonlinear Shallow Water Waves Regime and its Traveling Wave Solutions
- Nonlinear Dispersive Rayleigh–Taylor Instabilities in Magnetohydrodynamic Flows
- General soliton solutions for nonlinear dispersive waves in convective type instabilities