☆ 4.5 Article

Revised results of Khalida Bibi on the Radhakrishnan-Kundu-Lakshmanan equation

OPTIK (2021)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Mathematics, Applied

The generalized Duffing oscillator

Nikolay A. Kudryashov

Summary: A study on the integrability of a generalized Duffing oscillator shows that it only passes the Painlevetest in the case of the classic Duffing oscillator described by a second-order differential equation. By expanding the general solution, exact solutions for the generalized Duffing oscillator with two arbitrary constants are found.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2021)

添加到收藏夹

Article Optics

Almost general solution of the reduced higher-order nonlinear Schro d dinger equation

Nikolay A. Kudryashov

Summary: The generalized higher-order Schroedinger equation and its traveling wave solutions have been studied, with compatibility conditions found and solutions given in the form of periodic and solitary waves.

OPTIK (2021)

添加到收藏夹

Article Optics

Painlev′e analysis and traveling wave solutions of the fourth-order differential equation for pulse with non-local nonlinearity

Nikolay A. Kudryashov et al.

Summary: The study focuses on a nonlinear fourth-order partial differential equation with non-local nonlinearity for describing pulses in optical fiber. By using traveling wave reductions and Painleve ' analysis, it is shown that the system does not have a general solution with four arbitrary constants, but can have exact solutions with fewer arbitrary constants. Parameters for the mathematical model are determined for solution of the system of equations, and exact solutions are found using the Jacobi elliptic functions.

OPTIK (2021)

添加到收藏夹

Article Engineering, Multidisciplinary

Modulation instability analysis and optical solitons in birefringent fibers to RKL equation without four wave mixing

Shafqat ur Rehman et al.

Summary: In this study, optical solitons in birefringent fibers are retrieved using the Radhakrishnan-Kundu-Lakshmanan (RKL) equation in coupled vector form. Different forms of soliton solutions, including dark, singular, combined, and complex solitons, are recovered using innovative integration norms. The stability of the model is confirmed through modulation instability analysis, ensuring the stability of all extracted solutions.

ALEXANDRIA ENGINEERING JOURNAL (2021)

添加到收藏夹

Article Optics

Solitary waves of the non-local Schrodinger equation with arbitrary refractive index

Nikolay A. Kudryashov

Summary: A new generalization of the nonlinear Schrödinger equation is presented, taking into account arbitrary reflective index in optical fiber and non-local nonlinearity. Exact solutions in the form of solitary waves, which can be considered as optical solitons, are derived. Special cases of the equation and its solutions are also considered.

OPTIK (2021)

添加到收藏夹

Article Optics

Solitary waves of the generalized Sasa-Satsuma equation with arbitrary refractive index

Nikolay A. Kudryashov

Summary: This paper investigates the traveling wave reduction of the generalized Sasa-Satsuma equation with arbitrary refractive index, explores methods for finding exact solutions of nonlinear differential equations, and identifies periodic and solitary wave solutions of the generalized Sasa-Satsuma equation with arbitrary refractive index.

OPTIK (2021)

添加到收藏夹

Retraction Optics

撤稿声明: The Φ6-model expansion method for solving the Radhakrishnan-Kundu-Lakshmanan equation with Kerr law nonlinearity

Khalida Bibi

Summary: This paper applies the Phi(6)-model expansion method to derive new exact solutions for the perturbed Radhakrishnan-Kundu-Lakshmanan equation with Kerr law nonlinearity. The obtained solutions are based on Jacobi elliptic function, hyperbolic function, and trigonometric function solutions. Specific parameter values consistent with constraint conditions are assigned to reveal the dynamic behavior of the solutions.

OPTIK (2021)

添加到收藏夹

Article Optics

Optical solitons of the resonant nonlinear Schrodinger equation with arbitrary index

Nikolay A. Kudryashov

Summary: The reduction of traveling waves of the resonant nonlinear Schrödinger equation with arbitrary refractive index is discussed in this study. The system of equations for the real and imaginary parts is presented and the first integrals for this system are found. The equations are transformed into a single governing nonlinear ordinary differential equation, and exact solutions in the form of periodic and solitary waves are provided for different values of the refractive index.

OPTIK (2021)

添加到收藏夹

Article Mathematics, Applied

Solitary wave solutions of hierarchy with non-local nonlinearity

Nikolay A. Kudryashov

APPLIED MATHEMATICS LETTERS (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Optical solitons for Radhakrishnan-Kundu-Lakshmanan equation with full nonlinearity

Saima Arshed et al.

PHYSICS LETTERS A (2020)

添加到收藏夹

Article Mathematics, Applied

Highly dispersive solitary wave solutions of perturbed nonlinear Schrodinger equations

Nikolay A. Kudryashov

APPLIED MATHEMATICS AND COMPUTATION (2020)

添加到收藏夹

Article Physics, Applied

Construction of optical soliton solutions of the generalized nonlinear Radhakrishnan-Kundu-Lakshmanan dynamical equation with power law nonlinearity

Aly R. Seadawy et al.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B (2020)

添加到收藏夹

Article Optics

Optical solitons in birefringent fibers for Radhakrishnan-Kundu-Lakshmanan equation with five prolific integration norms

Yakup Yildirim et al.

OPTIK (2020)

添加到收藏夹

Article Optics

Mathematical model of propagation pulse in optical fiber with power nonlinearities

Nikolay A. Kudryashov

OPTIK (2020)

添加到收藏夹

Article Optics

Application of the Kudryashov function for finding solitary wave solutions of NLS type differential equations

Jayita Dan et al.

OPTIK (2020)

添加到收藏夹

Article Mathematics, Applied

Exact solutions of the equation for surface waves in a convecting fluid

Nikolay A. Kudryashov

APPLIED MATHEMATICS AND COMPUTATION (2019)

添加到收藏夹

Article Optics

First integrals and general solution of the traveling wave reduction for Schrodinger equation with anti-cubic nonlinearity

Nikolay A. Kudryashov

OPTIK (2019)

添加到收藏夹

Article Optics

A generalized model for description of propagation pulses in optical fiber

Nikolay A. Kudryashov

OPTIK (2019)

添加到收藏夹

Article Optics

Traveling wave solutions of the generalized nonlinear Schrodinger equation with cubic-quintic nonlinearity

Nikolay A. Kudryashov

OPTIK (2019)

添加到收藏夹

Article Optics

General solution of the traveling wave reduction for the perturbed Chen-Lee-Liu equation

Nikolay A. Kudryashov

OPTIK (2019)

添加到收藏夹

Article Optics

Construction of nonlinear differential equations for description of propagation pulses in optical fiber

Nikolay A. Kudryashov

OPTIK (2019)

添加到收藏夹

Article Physics, Applied

Optical soliton solutions for the nonlinear Radhakrishnan-Kundu-Lakshmanan equation

Behzad Ghanbari et al.

MODERN PHYSICS LETTERS B (2019)

添加到收藏夹

Article Mathematics, Applied

Painleve Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan - Kundu - Lakshmanan Equation

Nikolay A. Kudryashov et al.

REGULAR & CHAOTIC DYNAMICS (2019)

添加到收藏夹

Article Physics, Applied

The solitary wave solutions to the fractional Radhakrishnan-Kundu-Lakshmanan model

Tukur Abdulkadir Sulaiman et al.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B (2019)

添加到收藏夹

Article Optics

Optical solitons with Radhakrishnan-Kundu-Lakshmanan equation by extended trial function scheme

Anjan Biswas et al.

OPTIK (2018)

添加到收藏夹

Article Optics

Optical soliton perturbation with Radhakrishnan-Kundu-Lakshmanan equation by Lie group analysis

Anupma Bansal et al.

OPTIK (2018)

添加到收藏夹

Article Optics

Optical soliton perturbation with Radhakrishnan-Kundu-Lakshmanan equation by traveling wave hypothesis

Anjan Biswas

OPTIK (2018)

添加到收藏夹

Article Optics

Optical soliton perturbation for Radhakrishnan-Kundu-Lakshmanan equation with a couple of integration schemes

Anjan Biswas et al.

OPTIK (2018)

添加到收藏夹

Article Engineering, Electrical & Electronic

Optical solitons to the fractional perturbed Radhakrishnan-Kundu-Lakshmanan model

Tukur Abdulkadir Sulaiman et al.

OPTICAL AND QUANTUM ELECTRONICS (2018)

添加到收藏夹

Article Mathematics, Applied

Painleve analysis and exact solutions of the Korteweg-de Vries equation with a source

Nikolay A. Kudryashov

APPLIED MATHEMATICS LETTERS (2015)

添加到收藏夹

Article Physics, Applied

TOPOLOGICAL 1-SOLITON SOLUTION OF THE GENERALIZED RADHAKRISHNAN, KUNDU, LAKSHMANAN EQUATION WITH NONLINEAR DISPERSION

Benjamin Sturdevant et al.

MODERN PHYSICS LETTERS B (2010)

添加到收藏夹

Article Physics, Multidisciplinary

1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation

Anjan Biswas

PHYSICS LETTERS A (2009)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.