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Breather-like, singular, periodic, interaction of singular and periodic solitons, and a-periodic solitons of third-order nonlinear Schrödinger equation with an efficient algorithm
In this study, a diverse range of optical soliton solutions for the high-order nonlinear Schrödinger equation (NLSE) are discovered using the Sardar...
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Chirped gray and singular optical solitons with generalized quadratic-cubic law of self-phase modulation and nonlinear chromatic dispersion
The objective of this study to investigate chirped gray and singular optical solitons with nonlinear chromatic dispersion. The proposed nonlinear...
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Dust ion-acoustic singular solitons interaction with non-extensive electrons
Two nonlinear evolution equations (NLEEs) viz Korteweg–de Vries (KdV) and modified Korteweg–de Vries (MKdV) equations are derived from the dust...
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Investigation of solitons structures for nonlinear ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations
In this work, we analysis the novel behavior of solitons to the nonlinear evolution equations describing the ionic currents microtubule and...
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Effect of noise on wave solitons for (3+1)-dimensional nonlinear Schrödinger equation in optical fiber
We investigated the wave solitons for stochastic (3+1)-dimensional nonlinear Schrödinger equation with multiplicative white noise in the Itô sense...
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Solitons propagation in magneto-optic waveguides having generalized anti-cubic law of nonlinearity
In this paper, we explore new optical solitons for the coupled nonlinear Schrödinger equation with generalized anti-cubic nonlinearity, which governs...
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Exploring solitons in optical twin-core couplers with Kerr law of nonlinear refractive index using the modified extended direct algebraic method
This article studies high dispersion solitons in optical couplers that are composed of metamaterials using the modified extended direct algebraic...
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Highly dispersive optical solitons in fiber Bragg gratings with cubic quadratic nonlinearity using improved modified extended tanh-function method
This study investigates optical solitons and other traveling wave solutions in fiber Bragg gratings for coupled nonlinear Schrödinger equations with...
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Discrete Dissipative Solitons
The existence of discrete dissipative solitons in a nonlinear lattice is studied. The Ablowitz-Ladik (AL) model with linear dam**, nonlinear cubic...
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Construction of solitons in nano optical fibers with dual-power law nonlinearity using MEDAM
In this study, the generalized nonlinear Schrödinger equation (GNLSE) is examined. This model takes into account the group velocity dispersion,...
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Optical solitons for the Kudryashov–Sinelshchikov equation by two analytic approaches
This paper employs two ansatz-based methods to investigate a wide array of analytical soliton solutions within the framework of the...
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New solitons and other exact wave solutions for coupled system of perturbed highly dispersive CGLE in birefringent fibers with polynomial nonlinearity law
The use of optical fiber for communication has grown at a rapid pace due to the demands of the modern information era. In this paper, the modified...
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Diverse new solitons and other exact solutions for concatenation model using modified extended map** method
The study focuses on the combination of three mathematical models, namely nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel model, and...
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Optical solitons and complexitons for generalized Schrödinger–Hirota model by the modified extended direct algebraic method
The generalised Schrödinger equation is a nonlinear equation that is frequently encountered in modern physics study. Additionally, it is an important...
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Effects of fractional derivative on fiber optical solitons of (2 + 1) perturbed nonlinear Schrödinger equation using improved modified extended tanh-function method
This work explores the effect of fractional derivative on the fourth-order nonlinear Schrödinger equation with Kerr law nonlinearity, a highly...
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Derivation of optical solitons for perturbed highly dispersive conformable fractional nonlinear Schrödinger equation with sextic-power law refractive index
In this article, the modified extended direct algebraic method is applied for the perturbed highly dispersive nonlinear Schrödinger equation with...
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High-stochastic solitons for the eighth-order NLSE through Itô calculus and STD with higher polynomial nonlinearity and multiplicative white noise
This research is the first to deal with high stochastic solitons of the eighth-order NLSE that have higher polynomial nonlinearity and use Itô...
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Optical solitons for dispersive concatenation model with Kerr law nonlinearity by the complete discriminant method
This paper is about the retrieval of optical solitons for the dispersive concatenation model with Kerr law nonlinearity by the complete discriminant...
