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Generalized exponential rational function method for solving nonlinear conformable time-fractional Hybrid-Lattice equation
The current manuscript proposes an innovative approach for obtaining exact solutions to the conformable time-fractional nonlinear...
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Dynamical properties and novel wave solutions of the time-fractional extended (2+1)-dimensional Zakharov–Kuznetsov equation in plasma physics
The paper is intended to investigate of the extended time fractional (2+1) dimensional Zakharov–Kuznetsov (tf-ZK) equation with the sense of...
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Invariant optical soliton solutions to the Coupled-Higgs equation
In the present study, through the generalized exponential rational function method (GERFM), we construct optical soliton solution to the...
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Analytical soliton solutions of the fractional order dual-mode nonlinear Schrödinger equation with time-space conformable sense by some procedures
This paper considers the fractional order dual-mode nonlinear Schrödinger equation (FDMNLSE) with cubic law nonlinearity. The FDMNLSE interprets the...
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Dispersive solitary wave solutions for the dynamical soliton model by three versatile analytical mathematical methods
The solitary wave solutions gained well-reputed significance because of their peculiar characteristics. Solitary waves are spatially localized waves...
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Dynamic simulation of traveling wave solutions for the differential-difference Burgers’ equation utilizing a generalized exponential rational function approach
This article aims to study the generalized exponential rational function method to solve the differential-difference Burgers’ equation. Our approach...
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Optical wave propagation to a nonlinear phenomenon with pulses in optical fiber
We examine the three-component coupled nonlinear Schrodinger equation that is used for the propagation of pulses to the nonlinear optical fiber....
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Extraction of new soliton solutions of (3+1)-dimensional nonlinear extended quantum Zakharov–Kuznetsov equation via generalized exponential rational function method and \(\left( \frac{G^{\prime }}{G},\frac{1}{G}\right) \) expansion method
This paper deals with the extraction of exact solutions of nonlinear extended quantum Zakharov–Kuznetsov equation by implementing well founded...
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Solving the relativistic Toda lattice equation via the generalized exponential rational function method
In this article, we focus on a specific version of the NDDEs which is the relativistic Toda lattice equation. We employ the generalized exponential...
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Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion
The main concentration of this article is to extract pure-cubic optical solitons in nonlinear optical fiber modeled by nonlinear Schrödinger equation...
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Novel optical solutions to the dispersive extended Schrödinger equation arise in nonlinear optics via two analytical methods
The main goal of this paper is to study the higher-order dispersive extended nonlinear Schrödinger equation, which demonstrates the propagation of...
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New exact wave solutions of the variable-coefficient (1 + 1)-dimensional Benjamin-Bona-Mahony and (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Veselov equations via the generalized exponential rational function method
In this paper, the variable-coefficient (1 + 1)-dimensional Benjamin-Bona-Mahony (BBM) and (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Veselov...
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Dynamical study of a time fractional nonlinear Schrödinger model in optical fibers
In this work, the optical soliton solutions of the time-fractional nonlinear Schrödinger (NLS) model have been presented. For this purpose, we use...
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The study of solitary wave solutions to the time conformable Schrödinger system by a powerful computational technique
In this manuscript, we secure solitary wave solutions of the generalized (2+1)-dimensional nonlinear conformable Schrödinger (NLCS) system by...
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Dynamics of optical pulses in dual-core optical fibers modelled by decoupled nonlinear Schrodinger equation via GERF and NEDA techniques
In this paper the optical pulses and other solitary wave solutions are extracted in dual-core optical fibers. The decoupled nonlinear Schrodinger...
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Soliton solutions in the conformable (2+1)-dimensional chiral nonlinear Schrödinger equation
In this paper, the generalized exponential rational function method is applied to obtain analytical solutions for the conformable (2+1)-dimensional...
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Investigation of optical solitons to the nonlinear complex Kundu–Eckhaus and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations in conformable
This research manuscript focuses on the extraction of dark-bright solitons and periodic wave distributions of two models, namely, the...
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Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique
In this article, we are interested to discuss the exact optical soiltons and other solutions in birefringent fibers modeled by...
