Attosecond soliton switching through the interactions of two and three solitons in an inhomogeneous fiber

Veni, S. Saravana; Rajan, M.S. Mani

doi:10.1016/j.chaos.2021.111390

Cited by 15 publications

(4 citation statements)

References 43 publications

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“…The nonlinear Schrödinger (NLS) equation, which incorporates higher-order dispersive terms, is widely used in the theoretical analysis of various physical phenomena, including nonlinear optics, molecular systems, and fluid dynamics [1][2][3][4][5]. With the addition of fourth-order terms, known as the Lakshmanan-Porsezian-Daniel (LPD) equation, it describes higher-order molecular excitations with quadruple-quadruple coefficients and possesses integrability [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

The quasi-Gramian solution of a non-commutative extension of the higher-order nonlinear Schrödinger equation

Riaz,

Lin

2024

Commun. Theor. Phys.

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The nonlinear Schr{\"o}dinger (NLS) equation, which incorporates higher-order dispersive terms, is widely employed in the theoretical analysis of various physical phenomena. In this study, we explore the non-commutative extension of the higher-order NLS (HNLS) equation. We treat real or complex-valued functions, such as $g_1=g_1 (x,\;t)$ and $g_2= g_2 (x ,\;t)$ as non-commutative, and employ the Lax pair associated with the evolution equation as in the commutation case. We derive the quasi-Gramian solution of the system by employing a binary Darboux transformation (DT). \textcolor[rgb]{0.50,0.00,0.00}{The soliton solutions are presented explicitly within framework of quasideterminants. In order to visually understand the dynamics and solutions in the given example, we also provide simulations illustrating the associated profiles.} Moreover, the solution can be used to study the stability of plane waves and to understand the generation of periodic patterns in the context of modulational instability.

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Section: Introductionmentioning

confidence: 99%

The quasi-Gramian solution of a non-commutative extension of the higher-order nonlinear Schrödinger equation

Riaz,

Lin

2024

Commun. Theor. Phys.

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“…Researchers have been working tirelessly to create efficient ways for solving nonlinear evolution equations; these approaches include variable separation approach [1], Inverse scattering transform method [2], Darboux transformation [3], Hirota bilinear method [4], Lie symmetry method [5], Bäcklund transformation [6], and Truncated Painlevé Approach [7]. Localized coherent structures such as solitons [8,9], lumps [10], dromions [11], rogue waves [12], and breathers [13] could be constructed from the solution, and the collisional dynamics of the wave pattern can be analyzed.…”

Section: Introductionmentioning

confidence: 99%

A class of nonlinear wave patterns for (2+1) dimensional coupled integrable Maccari’s system

Sivatharani

Subramanian²,

Rajan³

et al. 2023

Phys. Scr.

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In this paper, with the aid of Truncated Painlev´e Approach, (2+1) dimensional Coupled Integrable Maccari’s System is investigated. The obtained result contains some arbitrary functions which can be properly selected to study the significance of the mathematical problem. Various kinds of localized solutions such as dromion triplet pairs, dromions, and rogue waves are derived from the obtained solution by means of appropriate arbitrary functions. Using suitable initial parameters, arbitrary functions are chosen to investigate the collisional behavior of the dromion triplet pairs in the two-dimensional plane. We graphically illustrated the nonlinear wave structures with the aid of 3D plots. It is worth noting that these localized nonlinear waves are unstable under various situations.

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“…So as to achieve distortionless transmission of ultra-short pulses and truly meet the requirements of high bandwidth and high transmission capacity, overcoming the influence of high-order dispersion and nonlinear effects has become a hot research topic. [23][24][25] In addition, in fiber optical communication, reducing the distance between adjacent solitons can increase the bit rate, but the interaction between solitons is more severe during this time. Therefore, it is necessary to study its action law and propose suppression methods to improve communication quality.…”

Section: Introductionmentioning

confidence: 99%

High-order effect on the transmission of two optical solitons

Yi 伊,

Yao 姚,

Zhang 张

et al. 2023

Chinese Phys. B

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For optical solitons with the pulse width in the sub picosecond and femtosecond scales in optical fibers, a modified model containing higher-order effects such as third-order dispersion and third-order nonlinearity is needed. In this paper, in order to study the dynamic mechanism of femtosecond solitons in different media, we take the nonlinear Schrödinger equation considering higher-order effects as the theoretical model, discuss the propagation of solitons in single-mode fibers, and explore the third-order dispersion and third-order nonlinear effects on the generation of optical solitons. The exact solution of the theoretical model is obtained through the bilinear method, and the transmission characteristics of two solitons with exact soliton solutions in actual fiber systems are analyzed and studied. The influence of various conditions on the transmission and interaction of optical solitons is explored. Methods for optimizing the transmission characteristics of optical solitons in optical communication systems are suggested. The relevant conclusions of this paper have guiding significance for improving the quality of fiber optic communication and increasing bit rates.

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Attosecond soliton switching through the interactions of two and three solitons in an inhomogeneous fiber

Cited by 15 publications

References 43 publications

The quasi-Gramian solution of a non-commutative extension of the higher-order nonlinear Schrödinger equation

The quasi-Gramian solution of a non-commutative extension of the higher-order nonlinear Schrödinger equation

A class of nonlinear wave patterns for (2+1) dimensional coupled integrable Maccari’s system

High-order effect on the transmission of two optical solitons

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