Jae Dong Chung's research while affiliated with Sejong University and other places

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Publications (249)


Impact of high dispersion and cubic-quintic-septic nonlinearity on optical solitons perturbations of the resonant nonlinear Schrödinger equation with multiplicative white noise
  • Article

June 2024

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26 Reads

Ain Shams Engineering Journal

Elsayed M.E. Zayed

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Mahmoud M. El-Horbaty

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[...]

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Jae Dong Chung
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Analysis of Kudryashov's equation with conformable derivative via the modified Sardar sub-equation algorithm
  • Article
  • Full-text available

April 2024

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92 Reads

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2 Citations

Results in Physics

In the present work, we utilize a new Sardar sub-equation approach, leading to the successful derivation of several exact solutions for the time-fractional Kudryashov's equation, which describes the propagation pulses in optical fibers. These solutions encompass a range of categories, including singular, wave, bright, mixed dark-bright, and bell-shaped optical solutions. To effectively showcase these novel optical soliton solutions, we utilized contour plots, three-dimensional graphs, and three-dimensional surface plots. Through multiple graphical simulations, we provide a comprehensive demonstration of the dynamic behavior and physical significance of these optical solutions within the proposed model. Moreover, we investigate the magnitude of the time-fractional Kudryashov's equation by analyzing the influence of the fractional order derivative and the impact of the time parameter on the newly constructed optical solutions. Our findings highlight the versatility of the presented method, as it can readily be applied to other differential equations in various fields, such as non-linear optics and plasma physics. The proposed technique is a generalized form that incorporates various methods, including the improved Sardar sub-equation method, the modified Kudryashov method, the tanh-function extension method, and others. To the best of our knowledge, these solutions are novel and have not been reported in the literature and have potential application in nonlinear optics.

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Figure 4. Visual depiction of the dark soliton solution (5.10).
Dispersive optical soliton solutions with the concatenation model incorporating quintic order dispersion using three distinct schemes

March 2024

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30 Reads

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1 Citation

AIMS Mathematics

This paper addresses the new concatenation model incorporating quintic-order dispersion, incorporating four well-known nonlinear models. The concatenated models are the nonlinear Schrödinger equation, the Hirota equation, the Lakshmanan-Porsezian-Daniel equation, and the nonlinear Schrödinger equation with quintic-order dispersion. The model itself is innovative and serves as an encouragement for investigating and analyzing the extracted optical solitons. These models play a crucial role in nonlinear optics, especially in studying optical fibers. Three integration algorithms are implemented to investigate the optical solitons with the governing model. These techniques are the Weierstrass-type projective Riccati equation expansion method, the addendum to Kudryashov's method, and the new mapping method. The solutions obtained include various solitons, such as bright, dark, and straddled solitons. Additionally, the paper reports hyperbolic solutions and Weierstrass-type doubly periodic solutions. These solutions are novel and have never been reported before. Visual depictions of some selected solitons illustrate these solutions' dynamic behavior and wave structure.



Figure 1. 3D and 2D graphical structure of bright soliton solution v 1 (x, y, t) (3.13) of the KP-BBM equation (1.4) with −10 ≤ x ≤ 10, −5 ≤ t ≤ 5 for a = 2, b = 2, a 1 = 0.15, b 1 = −0.2, θ = 1, α = 0.5, y = 0 and A = 2.7.
Figure 2. 3D and 2D graphical structure of dark soliton solution v 1 (x, y, t) (3.13) of the KP-BBM equation (1.4) with −10 ≤ x ≤ 10, −5 ≤ t ≤ 5 for a = 2, b = 2, a 1 = −0.15, b 1 = −0.2, k = 1.5, θ = 1, α = 0.5, y = 0 and A = 2.7.
Figure 3. 3D and 2D graphical structure of bright soliton solution v 1 (x, y, t) (3.20) of the KP-BBM equation (1.4) with −5 ≤ x, t ≤ 5 for a 1 = 0.15, b 1 = 2, θ = 2, σ = 0.5, κ = 0.35, y = 0 and A = 2.7.
Figure 4. 3D and 2D graphical structure of dark soliton solution v 1 (x, y, t) (3.20) of the KP-BBM equation (1.4) with −5 ≤ x, t ≤ 5 for a 1 = −0.15, b 1 = 2, θ = 2, σ = 0.5, κ = 0.35, k = 1.5, y = 0 and A = 2.7.
Figure 8. (a) phase portrait for system (6.1) in 2 dimension, when a 2 = −20, b 2 = −12 and P(Ω) = 90 √ 2π e − (0.12Ω) 2 2 ; (b) phase portrait with perturbation term.
Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods

February 2024

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102 Reads

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1 Citation

AIMS Mathematics

This research paper investigates the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony equation. The new Kudryashov and generalized Arnous methods are employed to obtain the generalized solitary wave solution. The phase plane theory examines the bifurcation analysis and illustrates phase portraits. Finally, the external perturbation terms are considered to reveal its chaotic behavior. These findings contribute to a deeper understanding of the dynamics of the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony wave equation and its applications in real-world phenomena.





Citations (71)


... partial differential equations, trying to find solutions that show the interesting complexity of these systems and to shed light on their special features [15][16][17][18] . The studies referenced cover a wide range of topics, from aerospace engineering to materials science and physics. ...

Reference:

Fractional dynamics study: analytical solutions of modified Kordeweg-de Vries equation and coupled Burger’s equations using Aboodh transform
Analysis of Kudryashov's equation with conformable derivative via the modified Sardar sub-equation algorithm

Results in Physics

... Subsequently, the model will be extended to include differential group delay and, ultimately, dispersion-flattened fibers. These awaited results will be sequentially reported once organized, following the structure of the cited works [32][33][34][35][36][37][38][39][40][41][42][43]. ...

Dispersive optical soliton solutions with the concatenation model incorporating quintic order dispersion using three distinct schemes

AIMS Mathematics

... Assume that the Eq. (7) has the solution of the form as follows 34,35 : www.nature.com/scientificreports/ where coefficients c j (j = 0, 1, 2...N) are constants to be determined such that c j = 0,and Q j (χ) = 1 rA �χ +sA −�χ is solution of nonlinear ODE. ...

Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods

AIMS Mathematics

... Optical soliton pulses play a pivotal role in soliton communication technology, facilitating efficient data transmission over transoceanic distances and transcontinental networks within the telecommunications industry [5][6][7]. This technology extends its influence to optical fibers, optical communication systems, and all-optical switching strategies, contributing to the advancement and optimization of communication networks [8][9][10]. Solitons find captivating applications in the efficient transmission of short pulses through optical fibers, a subject comprehensively covered in [5,11]. ...

High dispersion and cubic-quintic-septic-nonic nonlinearity effects on optical solitons in the complex Ginzburg–Landau equation of eighth-order with multiplicative white noise in the Itô sense
  • Citing Article
  • February 2024

Results in Physics

... Hybrid nanofluids are created using carbon nanotubes (CNTs) in cylindrical form and iron oxide. An inquiry to elucidate the flow behaviour of a Ree-Eyring hybrid nanofluid under stretching flow conditions was conducted by Ali et al. [25], who studied SiO2 and GO for their potential use as hybrid nanoparticles in combination with carboxymethyl cellulose (CMC) in water at low concentrations. A concentration range between 0.0 and 0.4% is recommended for use as the base fluid (CMC water). ...

Heat and mass exchanger analysis for Ree-Eyring hybrid nanofluid through a stretching sheet utilizing the homotopy perturbation method
  • Citing Article
  • February 2024

Case Studies in Thermal Engineering

... Besides, vehicle air conditioning systems, also found in private and commercial vehicles, have a major impact on greenhouse gas emissions and the world's oil consumption. [1][2][3][4]. Refrigerants containing chlorofluorocarbons (CFC) and hydrochlorofluorocarbons (HCFC) interact with the ozone layer in the atmosphere and have the potential to deplete the ozone layer. This effect is called the ozone depletion potential (ODP). ...

Exploring adsorption refrigeration for automobile air-conditioning: A comprehensive review
  • Citing Article
  • March 2024

Applied Thermal Engineering

... The investigation of nonlinear wave motion is an incredibly fascinating subject that captivates numerous disciplines including optical fibers [1][2][3], plasma physics [4][5][6], biomedical science [7,8], and fluid mechanics [9][10][11]. In order to achieve a deeper understanding of these nonlinear phenomena, it is crucial to determine exact soliton solutions. ...

Three different integration schemes for finding soliton solutions in the (1+1)-dimensional Van der Waals gas system
  • Citing Article
  • December 2023

Results in Physics

... There are many mathematical models have been used to analyze the wave propagation phenomenon in optical fibers. These models include nonlinear Schrödinger equation [7,8], complex Ginzburg-Landau equation [9], Sasa-Satsuma equation [10], Lakshmanan-Porsezian-Daniel (LPD) equation [11], Radhakrishnan-Kundu-Lakshmanan equation [12] and so on. Among the above models, LPD equation B Aiyong Chen aiyongchen@163.com 1 as a famous model was originally derived in [13,14] to give a description of continuum isotropic biquadratic Heisenberg spin chain. ...

Highly dispersive optical solitons in fiber Bragg gratings for stochastic Lakshmanan–Porsezian–Daniel equation with spatio-temporal dispersion and multiplicative white noise
  • Citing Article
  • November 2023

Results in Physics

... Various techniques have been utilized by different researchers to study NLPDEs and nonlinear Schrödinger equations. These methods include simplest extended equation method (Bilige et al. 2013;Murad et al. 2023), new Kudryashov method (Murad 2023;Murad et al. 2023), Hirota bilinear method (Manafian et al. 2020;Liu et al. 2008), Laplace decomposition method (González-Gaxiola and Biswas 2018), generalized Jacobi elliptic function method (Hosseini et al. 2020, Arefin et al. 2022, used the extended tanh-method to the space-time fractional telegraph equation and the spacetime fractional modified third-order Kdv equation. Zaman et al. (2023), applied the subsidiary extended tanh-function technique to study the nonlinear coupled type Boussinesq-Burger and coupled type Boussinesq equations. ...

Higher-order time-fractional Sasa–Satsuma equation: Various optical soliton solutions in optical fiber

Results in Physics

... Ghanmi and Abbas (2019) studied the heat transfer model including fractional derivatives for a living tissue exposed to a moving heat source. Shah et al. (2023) established the bio heat transfer theory using the Riemann-Liouville definition of a fractional derivative. Recently, various problems have been solved by adopting the new generalized theories of heat transfer (Ahmed et al. 2022;Braet et al. 2023;Raza et al. 2023a,b;Riaz and Saeed 2021;Qayuum et al. 2023;Rehman et al. 2021). ...

Bioheat Transfer with Thermal Memory and Moving Thermal Shocks

Fractal and Fractional