Some new solutions of the Caudrey–Dodd–Gibbon (CDG) equation using the conformable derivative

Bibi, Sadaf; Ahmed, Naveed; Faisal, Imran; Mohyud‐Din, Syed Tauseef; Rafiq, Muhammad; Khan, Umar

doi:10.1186/s13662-019-2030-7

Cited by 8 publications

(5 citation statements)

References 39 publications

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“…Bibi. et al [46] has used Atangana's derivative on Caudrey-Dodd-Gibsson equation A. Yusuf et al [47] have found optical solitons for Chen-Lee-Liu equation using beta derivative.…”

Section: Introductionmentioning

confidence: 99%

New travelling wave solutions to (2+1)-Heisenberg ferromagnetic spin chain equation using Atangana’s conformable derivative

et al. 2021

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In this study, some new optical soliton solutions are obtained with generalized Riccati equation mapping method for space time conformable (2+1) dimensional Heisenberg ferromagnetic spin chain equation by using Atangana’s conformable derivative. We construct bright and dark solitons, combined bright-dark solitons, periodic wave solutions for this equation. 3D and 2D graphs of few obtained solutions are plotted to show some interesting physical features as these new results might be helpful in the study of nonlinear ferromagnetic materials and optical fibers. The procured results show that this is very robust method to originate abundant solutions for various fractional differential equations. All the results are verified by Maple program.

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“…Bibi. et al [46] has used Atangana's derivative on Caudrey-Dodd-Gibsson equation A. Yusuf et al [47] have found optical solitons for Chen-Lee-Liu equation using beta derivative.…”

Section: Introductionmentioning

confidence: 99%

New travelling wave solutions to (2+1)-Heisenberg ferromagnetic spin chain equation using Atangana’s conformable derivative

et al. 2021

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“…Koonprasert et al [32] implemented this method to find more explicit solitary solutions to the space-time fractional fifth-order nonlinear Sawada-Kotera equation. Most recently, Bibi et al [33] have used this method on Caudrey-Dodd-Gibsson equation. Their work shows that the improved generalized Riccati equation method has a great protentional for solving fractional order partial differential equations.…”

Section: Introductionmentioning

confidence: 99%

Some newly explored exact solitary wave solutions to nonlinear inhomogeneous Murnaghan’s rod equation of fractional order

Rani

Ahmed

Dragomir

et al. 2021

Journal of Taibah University for Science

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“…which is a so-called Jimbo-Miwa equation in its potential frame. Bibi and co-workers [8] used the generalized Riccati equation mapping method for the space-time conformable Caudrey-Dodd-Gibbon equation by implementing the conformable derivative. Atangana and Araz [5] studied the spread of COVID-19 cases in Turkey and South Africa with an exhaustive statistical analysis.…”

Section: Introductionmentioning

confidence: 99%

Conservation laws and exact solutions of the $(3+1)$-dimensional Jimbo–Miwa equation

2021

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In this article, by using the Herman–Pole technique the conservation laws of the $(3+1)-$ ( 3 + 1 ) − Jimbo–Miwa equation are obtained, and then by using the Lie symmetry analysis all of the geometric vector fields of this equation are given. Also, the non-classical symmetries of the Jimbo–Miwa equation have been determined by applying nonclassical schemes. Eventually, the ansatz solutions of the Jimbo–Miwa equations utilizing the tanh technique have been offered.

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Some new solutions of the Caudrey–Dodd–Gibbon (CDG) equation using the conformable derivative

Cited by 8 publications

References 39 publications

New travelling wave solutions to (2+1)-Heisenberg ferromagnetic spin chain equation using Atangana’s conformable derivative

New travelling wave solutions to (2+1)-Heisenberg ferromagnetic spin chain equation using Atangana’s conformable derivative

Some newly explored exact solitary wave solutions to nonlinear inhomogeneous Murnaghan’s rod equation of fractional order

Conservation laws and exact solutions of the $(3+1)$-dimensional Jimbo–Miwa equation

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