Journal ArticleDOI
Abundant exact soliton solutions to the Fokas system
TLDR
In this article , the Fokas system that describes the nonlinear pulse propagation in monomode optical fibers was considered and the Exp-function method was employed to construct six families of exact soliton solutions.About:
This article is published in Optik.The article was published on 2022-01-01. It has received 41 citations till now. The article focuses on the topics: Soliton & Construct (python library).read more
Citations
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Journal ArticleDOI
Nonlinear pulse propagation for novel optical solitons modeled by Fokas system in monomode optical fibers
TL;DR: In this paper , the Fokas system which represents the spread of irregular pulse in monomode optical fibers is investigated via the Jacobi elliptic function expansion (JEFE) method.
Journal ArticleDOI
Investigation into the Explicit Solutions of the Integrable (2+1) - Dimensional Maccari System via the Variational Approach
Kang-Jia Wang,Jing Si +1 more
TL;DR: In this article , a variational approach based on the variational theory and Ritz-like method can construct the explicit solutions via the stationary conditions only taking two steps, and the dynamic behaviors of the solutions are exhibited by choosing the appropriate parameters through the 3D and density plots.
Journal ArticleDOI
Traveling wave solutions of the Gardner equation in dusty plasmas
TL;DR: In this paper , the authors mainly studied the Gardner equation that models the propagation of dust ion acoustic waves and constructed abundant traveling wave solutions like bright solitary, bright-dark solitary, dark solitary and periodic wave solutions or compact-like solutions.
Journal ArticleDOI
Abundant exact traveling wave solutions to the local fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
TL;DR: Based on the local fractional derivative, the authors developed a new Boiti-Leon-Manna-Pempinelli equation with the help of the traveling wave transform of the nondifferentiable type, and then the Mittag-Leffler function was used to construct the abundant non-differentiable exact traveling wave solutions.
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Exact traveling wave solutions for the system of the ion sound and Langmuir waves by using three effective methods
Kang Jia Wang,Guo dong Wang +1 more
TL;DR: In this article , a study of the system of ion sound and Langmuir waves (SEISLWs) is presented, where the authors developed seven sets of traveling wave solutions (TWSs) like the bright solitary (Type-1, Type-2), Type-3 and Type-4), kinky bright solitary, dark solitary and periodic wave solutions through three effective methods, which are simplified extended tanh-function method, He's frequency formulation and the energy balance theory.
References
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Journal ArticleDOI
Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
Xu-Hong Wu,Ji-Huan He +1 more
TL;DR: The combined KdV-MKdV equation and the Liouville equation are chosen to illustrate the effectiveness and convenience of the proposed Exp-function method for seeking solitary solutions, periodic solutions, and compacton-like solutions of nonlinear differential equations.
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EXP-function method and its application to nonlinear equations
Xu-Hong Wu,Ji-Huan He +1 more
TL;DR: In this article, an Exp-function method is used to find a unified solution of a nonlinear wave equation, and a generalized solitary solution with free parameters is obtained. But this method is not suitable for the case of non-linear wave equations.
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Optical soliton cooling with polynomial law of nonlinear refractive index
TL;DR: In this paper, the effect of optical soliton cooling with polynomial law of nonlinear refractive index was investigated by the aid of soliton perturbation theory, both Hamiltonian and non-Hamiltonian type, including non-local type, perturbations are considered.
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Analytic study on interactions between periodic solitons with controllable parameters
TL;DR: In this article, one-and two-soliton solutions for the nonlinear Schrodinger equation are derived by using the Hirota's bilinear method, and the influences of each parameter on period interactions between solitons are discussed, and a method of how to control the cycle of interactions is suggested.
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Optical solitons in nano-fibers with spatio-temporal dispersion by trial solution method
Anjan Biswas,Anjan Biswas,Mohammad Mirzazadeh,Mostafa Eslami,Qin Zhou,Ali H. Bhrawy,Ali H. Bhrawy,Milivoj R. Belic +7 more
TL;DR: In this paper, the authors used the trial solution algorithm to secure optical soliton solutions to the nonlinear Schrodinger's equation, and obtained bright, dark and singular soliton solution to the model that is considered with four forms of nonlinearity.