Optical soliton solutions of the NLSE with quadratic-cubic-Hamiltonian perturbations and modulation instability analysis

Aslan, Ebru Cavlak

doi:10.1016/j.ijleo.2019.04.008

Cited by 45 publications

(16 citation statements)

References 39 publications

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“…We insist that solitonsdoes not have nontrivial parameters. Velocities of these solitons are set as universal NLSE remain unchanged w. r. t. Galilean transformation (12) , γ > 0 yields with the next relations ε < 0α < 3σ 2 /8ε In this case when β 3 > 0 optical solitons reduces for µ =0 can also written as:…”

Section: Non-linear Schrodinger Equationmentioning

confidence: 98%

Solitons transmission system : A dynamic shift in optical fiber communication

Bagri¹,

Kumar²

2020

IJST

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Objective: To present a detailed study of Solitons transmission system, including their types, applications, effects, and updated research work and research gaps. Findings: The 4 th , generation fiber optic communication system utilizes visual amplification to decrease the demand for repeaters and WDM to increase the information power. Similarly, 5 th the phase of Optical Fiber Communication is now expending the distances range which the wavelength division multiplexing system will control. The traditional wave length frame called the C ring covers the distance range 1.53 to 1.57 um and dry material has the low loss window promising extension of range to 1.30 to 1.65 um. Additional development includes the idea of visual solitons pulses that maintain their body by counteracting the results of distribution with nonlinear effects of this material by applying pulses of specific shape. Application: This will motivate the researchers to undertake research work in the field of Solitons communication to achieve improved design characteristics, reducing number of repeaters, cost and higher data rate transmissions.

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Section: Non-linear Schrodinger Equationmentioning

confidence: 98%

Solitons transmission system : A dynamic shift in optical fiber communication

Bagri¹,

Kumar²

2020

IJST

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“…Balancing U with U ′′ in Equations (13,17,22), we get s = 1. Therefore, the solutions form of Equations (13,17,22) has the following expression…”

Section: Exact Solutions Of the (3+1)-dimensional Wbbm Equationmentioning

confidence: 99%

“…Substituting Equation 24into (13) [or (17) or (22)] with along (Equation 10) and equating all the coefficients of ϕ(η) to zero, we obtain a highly complicated system of algebraic equations. A set of algebraic equations is obtained in ̟ 0 , ̟ 1 , and a as follows:…”

Section: Exact Solutions Of the (3+1)-dimensional Wbbm Equationmentioning

confidence: 99%

“…Exact solutions produce corporal information to describe the physical behavior of system connected with these NLEs. In recent years, several efficient methods including method of extended tanh [1,2], tanh-coth [3,4], Hirota's direct [5,6], sine-cosine [7,8], extended direct algebraic [9,10], extended trial approach [11,12], Exp [-ϕ(ξ)]-Expansion [13,14], a new auxiliary equation [15,16], Jacobi elliptic ansatz [17,18], generalized Bernoulli sub-ODE [19,20], functional variable [21,22], sub equation [23,24], and so on [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39], have been established for efficient solutions of NLEs.…”

Section: Introductionmentioning

confidence: 99%

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New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations

2020

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We solve distinct forms of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+1)-Dimensional WBBM] equations by employing the method of Sardar-subequation. When parameters involving this approach are taken to be special values, we can obtain the solitary wave solutions (sws) which is concluded from other approaches such as the functional variable method, the trail equation method, the first integral method and so on. We obtain new and general solitary wave solutions in terms of generalized hyperbolic and trigonometric functions. The results demonstrate the power of the proposed method for the determination of sws of non-linear evolution equations (NLEs).

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“…In this paper, with the availability of symbolic computation packages, the resonant non-linear Schrodinger's equation (RNLS) is investigated by employing the modified Khater method and Adomian decomposition method to construct analytical and semi-analytical solutions [31][32][33][34][35][36][37][38][39][40][41]. The (3+1)-D RNLS model is given:…”

Section: Introductionmentioning

confidence: 99%

New optical explicit plethora of the resonant Schrodinger’s equation via two recent computational schemes

et al. 2020

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This research paper investigates the computational solutions of the resonant Schr?dinger?s equation. The modified Khater method and Adomian decomposition method are applyied for construct new analytical traveling and semi-analytical wave solutions. This model describes the pulse phenomena and studied in non-linear optics. For further illustration of our obtained solutions, some distinct types of sketches are given.

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Optical soliton solutions of the NLSE with quadratic-cubic-Hamiltonian perturbations and modulation instability analysis

Cited by 45 publications

References 39 publications

Solitons transmission system : A dynamic shift in optical fiber communication

Solitons transmission system : A dynamic shift in optical fiber communication

New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations

New optical explicit plethora of the resonant Schrodinger’s equation via two recent computational schemes

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