Optical 1-soliton solutions of Triki-Biswas equation by the First Integral Method and the sine-cosine Method

Singh, S. Subhaschandra

doi:10.14419/ijpr.v9i1.31474

IJPR

2021

DOI: 10.14419/ijpr.v9i1.31474

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Optical 1-soliton solutions of Triki-Biswas equation by the First Integral Method and the sine-cosine Method

S. Subhaschandra Singh

Abstract: In this paper, the First Integral Method and the Sine-Cosine Method are being used in constructing optical 1-soliton solutions of Triki-Biswas Equation that plays a vital role in the study of soliton dynamics of sub-pico-second optical pulses in mono-mode optical fibers with non-Kerr law nonlinearity and subsequently some soliton and non-soliton solutions are formally obtained.

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Cited by 3 publications

References 19 publications

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Exploring the impact of multiplicative white noise on novel soliton solutions with the perturbed Triki–Biswas equation

Arnous,

Ahmed,

Nofal

et al. 2024

Eur. Phys. J. Plus

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This study examines the effects of multiplicative white noise on soliton perturbations governed by the Triki–Biswas equation for the first time. Triki–Biswas equation advances research on ultrashort pulse propagation in optical fibers. It modifies the nonlinear Schrödinger equation to describe the behavior of femtosecond pulses more accurately in optical media, becoming a critical tool in the field. The paper employs two innovative methods, the enhanced direct algebraic method and the new projective Riccati equations method to uncover a broad range of soliton solutions, including bright, dark, and singular solitons. The solutions are expressed in terms of Jacobi elliptic functions and exhibit a transition to soliton-type solutions as the elliptic modulus approaches unity. This investigation is the first of its kind to explore the effects of multiplicative white noise within this context, providing new perspectives and methodologies for future research in the field. The study sheds light on previously unexplored aspects of multiplicative white noise and contributes significantly to the body of knowledge in soliton theory and its application to optical fiber technology.

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Exploring the impact of multiplicative white noise on novel soliton solutions with the perturbed Triki–Biswas equation

Arnous,

Ahmed,

Nofal

et al. 2024

Eur. Phys. J. Plus

View full text Add to dashboard Cite

show abstract

Triki–Biswas model: Its symmetry reduction, Nucci’s reduction and conservation laws

Akbulut

Mirzazadeh

Hashemi

et al. 2022

Int. J. Mod. Phys. B

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In this paper, the symmetry reduction method and Nucci’s reduction method are used to obtain exact solutions to the Triki–Biswas equation. Furthermore, the new conservation theorem is utilized for finding the conservation laws of the given model. The conservation laws are derived for each admitted symmetry of the Triki–Biswas equation and satisfy the divergence condition. The 3D, contour and 2D figures are finally plotted to show the dynamics of the obtained exact solutions.

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Propagation of diverse ultrashort pulses in optical fiber to Triki–Biswas equation and its modulation instability analysis

Sulaıman

Yusuf

Yusuf³

et al. 2021

Mod. Phys. Lett. B

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This paper presents the modulation instability (MI) analysis and the different types of optical soliton solutions of the Triki–Biswas model equation. The aforesaid model equation is the generalization of the derivative nonlinear Schrödinger equation which describes the ultrashort pulse propagation with non-Kerr dispersion. The study is carried out by means of a novel efficient integration scheme. During this work, a sequence of optical solitons is produced that may have an important in optical fiber systems. The results show that the studied model hypothetically has incredibly rich optical soliton solutions. The constraint conditions for valid soliton solutions are also reported. The gained results show that the applied method is efficient, powerful and can be applied to various complex models with the help of representative calculations.

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Optical 1-soliton solutions of Triki-Biswas equation by the First Integral Method and the sine-cosine Method

Cited by 3 publications

References 19 publications

Exploring the impact of multiplicative white noise on novel soliton solutions with the perturbed Triki–Biswas equation

Exploring the impact of multiplicative white noise on novel soliton solutions with the perturbed Triki–Biswas equation

Triki–Biswas model: Its symmetry reduction, Nucci’s reduction and conservation laws

Propagation of diverse ultrashort pulses in optical fiber to Triki–Biswas equation and its modulation instability analysis

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