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Exact solutions for the improved mKdv equation with conformable derivative by using the Jacobi elliptic function expansion method
The goal of this paper is to find exact solutions to the improved modified Korteweg-de Vries (mKdV) equation with a conformable derivative using the...
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Exploring exact solitary wave solutions of Kuralay-II equation based on the truncated M-fractional derivative using the Jacobi Elliptic function expansion method
This paper focuses on the Kuralay-II equation, a prominent nonlinear evolutionary equation used in various scientific fields. Our goal was to...
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Jacobi elliptic function expansion method for the improved modified kortwedge-de vries equation
In this paper, the Jacobi elliptic function expansion technique is put forward for the first time to build the exact solution of the improved...
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Construction of shock, periodic and solitary wave solutions for fractional-time Gardner equation by Jacobi elliptic function method
The investigation revolved around the study of the time fractional Gardner equation, which was examined in terms of the conformable derivative. The...
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New optical solitons based on the perturbed Chen-Lee-Liu model through Jacobi elliptic function method
In this study, we investigate the perturbed Chen-Lee-Liu equation that represents the propagation of an optical pulse in plasma and optical fiber....
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Constructing new soliton solutions for Kudryashov’s quintuple self-phase modulation with dual-form of generalized nonlocal nonlinearity using extended F-expansion method
In this paper, we discussed analytically the nonlinear Schrödinger’s equation having Kudryashov’s quintuple power law of refractive index together...
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Solitons and other wave solutions for nonlinear Schrödinger equation with Kudryashov generalized nonlinearity using the improved modified extended tanh-function method
Many mathematical models describe the optical solitons propagation through optical fibers such as nonlinear Schrödinger’s equation. In this work, we...
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Exact solutions of the Landau–Ginzburg–Higgs equation utilizing the Jacobi elliptic functions
The Landau–Ginzburg–Higgs equation is one of the significant evolution equation in physical phenomena. In this work, the exact solutions of this...
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Generalized Jacobi Elliptic Solutions for the KdV Equation with Dual Power Law Non-Linearity and for the Power Law KdV-Burger Equation with the Source
Within the framework of an improved Jacobi elliptic expansion method, we study the Jacobi elliptic solutions for the Korteweg-de Vries (KdV) equation...
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New Jacobi Elliptic Solutions and Other Solutions in Optical Metamaterials Having Higher-Order Dispersion and Its Stability Analysis
In this paper, we investigate the nonlinear Schrödinger equation in metamaterials having cubic-quintic nonlinearity with third and fourth order...
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Jacobi elliptic solutions, bright, compound bright-complex singular solitons of \(\left( 3+1\right) -\) dimensional Wazwaz Kaur Boussinesq equation
In this research communication, the (3 + 1)-dimensional Wazwaz Kaur Boussinesq equation is studied and solved by the direct algebraic method, namely...
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Lie vector fields, conservation laws, bifurcation analysis, and Jacobi elliptic solutions to the Zakharov–Kuznetsov modified equal-width equation
The present paper intends to thoroughly study an evolutionary model called the Zakharov–Kuznetsov modified equal-width (ZK–MEW) equation. More...
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Soliton solutions of generalized Kundu-Eckhaus equation with an extra-dispersion via improved modified extended tanh-function technique
In this paper, we introduce the generalized Kundu-Eckhaus equation (KEE) with extra-dispersion, which describes the propagation of the ultra-short...
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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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Nonlocal Symmetries, Consistent Riccati Expansion Solvability and Interaction Solutions of the Generalized Ito Equation
In this paper, we investigate the generalized Ito equation. By using the truncated Painlevé analysis method, we successfully derive its nonlocal...
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Generalized periodic and soliton optical ultrashort pulses for perturbed Fokas–Lenells equation
In this paper, the perturbed Fokas–Lenells equation, which describes the propagation of ultrashort optical pulses in birefringent fibers, is...
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Investigation of solitons and conservation laws in an inhomogeneous optical fiber through a generalized derivative nonlinear Schrödinger equation with quintic nonlinearity
The current research investigates the behavior of femtosecond solitary waves in an inhomogeneous optical fiber using the generalized derivative...
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Dust-Ion-Acoustic Jacobi Cnoidal, Dnoidal and Snoidal Wave Phenomena in a Magnetized Dusty Plasma with (r, q) Distributed Electrons
Nonlinear dust-ion-acoustic waves (DIAWs) in a magnetized dusty plasma consisting of inertial ions, stationary dust particles, and ( r , q ) distributed...
