Investigations of bright, dark, kink-antikink optical and other soliton solutions and modulation instability analysis for the (1+1)-dimensional resonant nonlinear Schrödinger equation with dual-power law nonlinearity

Das, Nilkanta; Saha Ray, S.

doi:10.1007/s11082-023-05341-3

Cited by 6 publications

(1 citation statement)

References 56 publications

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“…The nonlinear Schrödinger equation (NLSE) is one of the most prominent dynamical models used to study pulse propagation in Kerr media [5]. A chirp frequency is produced by self-phase modulation and anomalous dispersion working together to balance out the Kerr effect [6]. When dispersion and nonlinear effects are accurately synchronised, chip-free pulses are generated [7].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis and soliton solutions of the (1+1)-dimensional nonlinear chiral Schrödinger equation in nuclear physics

Badshah,

Tariq,

Bekir

et al. 2024

Commun. Theor. Phys.

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One of the most influential physical models for explaining the transmission of an optical soliton in optical fibre theory is the nonlinear Schrödinger equation (NLSE). Due to its many potential uses in communications and ultrafast signal routing systems, chiral soliton propagation in nuclear physics is a subject that holds a great deal of interest. This work employs a number of in-depth analytical techniques to deal with the (1+1)-dimensional chiral NLSE that describes the soliton behaviour in transmission of data and has application in the fields of nuclear physics, optics, ionised science, particle physics, and in other applied disciplines mathematical sciences. With the help of applied strategies, we are able to develop different types of solutions that demonstrate behaviour of singular soliton solution, periodic soliton solution, v-shaped soliton, chiral soliton and bell shaped soliton solutions behaviour. Additionally, we discuss the stability analysis for the established solution of the governing model to validate the scientific computations. For the best understanding of solutions behaviour the 3D, contour, and 2D graphics are included. The strategies used are reliable, simple, and efficient. The obtained solution has applications in various computational physics phenomena as well as in other real-world situations and a wide range of academic disciplines.

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Section: Introductionmentioning

confidence: 99%

Stability analysis and soliton solutions of the (1+1)-dimensional nonlinear chiral Schrödinger equation in nuclear physics

Badshah,

Tariq,

Bekir

et al. 2024

Commun. Theor. Phys.

View full text Add to dashboard Cite

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Optical solitons of higher order mathematical model with refractive index using Kudryashov method

Elsherbeny,

Elsonbaty,

Badra

et al. 2024

Opt Quant Electron

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Analyzing optical soliton solutions in Kairat-X equation via new auxiliary equation method

Faridi,

Tipu,

Riaz

et al. 2024

Opt Quant Electron

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The paper introduce a novel auxiliary equation method for the successful derivation of traveling wave solutions for the non-linear Kairat-X (K-X) equation. Along with other novel results, soliton, singular, triangular periodic, and doubly periodic topological solutions are among the solutions obtained. The study revisits the concept of optical solitary waves, enhancing our understanding of the model. Previous studies have already derived analytical solutions using diverse approaches, contributing to the discovery of new soliton solutions within this framework. These solutions are characterized through three-dimensional, contour plot, and two-dimensional profile analyses. Additionally, the impact of time on the propagation of wave patterns is explored. The outcomes show how well our suggested approach works to solve non-linear evolution equations by producing fresh, more thorough solutions, making it a powerful mathematical tool for doing so. Through this article, we elucidate how leveraging NAEM with the Kairat-X equation can lead to optimized optical systems, improved data transmission rates, and the evolution of nonlinear optics towards more efficient and reliable communication technologies.

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Investigations of bright, dark, kink-antikink optical and other soliton solutions and modulation instability analysis for the (1+1)-dimensional resonant nonlinear Schrödinger equation with dual-power law nonlinearity

Cited by 6 publications

References 56 publications

Stability analysis and soliton solutions of the (1+1)-dimensional nonlinear chiral Schrödinger equation in nuclear physics

Stability analysis and soliton solutions of the (1+1)-dimensional nonlinear chiral Schrödinger equation in nuclear physics

Optical solitons of higher order mathematical model with refractive index using Kudryashov method

Analyzing optical soliton solutions in Kairat-X equation via new auxiliary equation method

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