The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method

Kaplan, Melike; Akbulut, Arzu

doi:10.21203/rs.3.rs-315162/v1

Cited by 3 publications

(1 citation statement)

References 49 publications

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“… 2020 ; Ghanbari and Djilali 2020 ; Rajesh Kanna et al. 2020 ; Ghanbari 2020 ; Kaplan and Akbulut 2021 ; Ghanbari and Atangana 2020 ; McCue et al. 2021 ; Djilali and Ghanbari 2021 ; Gao et al.…”

Section: Introductionmentioning

confidence: 99%

Investigation of optical solitons to the nonlinear complex Kundu–Eckhaus and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations in conformable

Baskonus

Gao

2022

Opt Quant Electron

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This research manuscript focuses on the extraction of dark-bright solitons and periodic wave distributions of two models, namely, the Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation and complex Kundu–Eckhaus equation with conformable derivative. To reach these important properties, the generalized exponential rational function method is considered. To observe wave distributions in periodic and singular sense, dynamical behaviour modulus of solutions are also archived. Strain conditions for validity of results obtained in this paper are also reported.

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Section: Introductionmentioning

confidence: 99%

Investigation of optical solitons to the nonlinear complex Kundu–Eckhaus and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations in conformable

Baskonus

Gao

2022

Opt Quant Electron

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Effect of the free parameters on the Biswas-Arshed model with a unified technique

Islam

Bashar

Arafat

et al. 2022

Chinese Journal of Physics

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Soliton Solutions to the BA Model and (3 + 1)‐Dimensional KP Equation Using Advanced exp(−ϕ(ξ))‐Expansion Scheme in Mathematical Physics

Mawa,

Islam,

Bashar

et al. 2023

Mathematical Problems in Engineering

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In this manuscript, the primary motivation is the implementation of the advanced exp − ϕ ξ -expansion method to construct the soliton solution, which contains some controlling parameters of two distinct equations via the Biswas–Arshed model and the (3 + 1)-dimensional Kadomtsev–Petviashvili equation. Here, the solutions’ behaviors are presented graphically under some conditions on those parameters. The height of the wave, wave direction, and angle of the obtained wave is formed by substituting the particular values of the considerations over showing figures with the control plot. With the collaboration of the advanced exp − ϕ ξ -expansion method, we construct entirely the solitary wave results as well as rogue type soliton, combined singular soliton, kink, singular kink, bright and dark soliton, periodic shape, double periodic shape soliton, etc. Therefore, it is remarkable to perceive that the advanced exp − ϕ ξ -expansion technique is a simple, viable, and numerical solid apparatus for clarifying careful outcomes to the other nonstraight equivalences.

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The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method

Abstract: This research article is dedicated to applying the generalized Kudryashov method in order to acquire new exact and soliton-type solutions of the conformable Burgers' equation and Wu-Zhang system with conformable derivative.

Cited by 3 publications

References 49 publications

Investigation of optical solitons to the nonlinear complex Kundu–Eckhaus and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations in conformable

Investigation of optical solitons to the nonlinear complex Kundu–Eckhaus and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations in conformable

Effect of the free parameters on the Biswas-Arshed model with a unified technique

Soliton Solutions to the BA Model and (3 + 1)‐Dimensional KP Equation Using Advanced exp(−ϕ(ξ))‐Expansion Scheme in Mathematical Physics

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