Saima Arshed
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View article: The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation
The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation Open
This document presents an augmentation to the nonlinear Landau-Ginzburg-Higgs equation through a metamorphosis into a dual-mode version utilizing Korsunsky’s sense. The recently formulated framework is distinguished by the depiction of wav…
View article: Exploration of novel solitary waves in presence of higher order polynomial nonlinearity and spatio-temporal dispersion via itô calculus
Exploration of novel solitary waves in presence of higher order polynomial nonlinearity and spatio-temporal dispersion via itô calculus Open
This study investigates highly stochastic solitary waves inside the structure of nonlinear Schrödinger equation of eighth-order, characterized by heightened polynomial nonlinearity and influenced by multiplicative white noise modeled in th…
View article: A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion
A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion Open
The extraction of novel optical solitons for the proposed model, which includes Kerr law nonlinearity, space–time dispersion, different Hamiltonian perturbation terms, and the effect of multiplicative white noise, is the aim of this work. …
View article: Investigating (2+1)-dimensional dissipative long wave system in water waves using three innovative integration norms
Investigating (2+1)-dimensional dissipative long wave system in water waves using three innovative integration norms Open
This research article investigates the dissipative long wave system in (2+1) dimensions. To analyze this system, three separate integrating strategies were used: the single manifold approach, the unified method, and the generalized project…
View article: Multiple soliton and traveling wave solutions for the negative-order-KdV-CBS model
Multiple soliton and traveling wave solutions for the negative-order-KdV-CBS model Open
The (3+1)-dimensional new negative-order-KdV-CBS model is investigated in this study. The suggested model combines the Korteweg-de Vries (KdV) and Calogero-Bogoyavlenskii-Schiff (CBS) equations. This research provides multiple soliton solu…
View article: Extraction of exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation using two exact integration techniques
Extraction of exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation using two exact integration techniques Open
In this research paper, (2 + 1)-dimensional Chaffee-Infante equation, with applications in fluid dynamics, nonlinear fiber optics, coastal engineering, ion-acoustic modeling, sound waves, electromagnetic field waves, and plasma physics, is…
View article: Investigation of complex hyperbolic and periodic wave structures to a new form of the q-deformed sinh-Gordon equation with fractional temporal evolution
Investigation of complex hyperbolic and periodic wave structures to a new form of the q-deformed sinh-Gordon equation with fractional temporal evolution Open
This paper presents the fractional generalized q-deformed sinh-Gordon equation. The fractional effects of the temporal derivative of the proposed model are studied using a conformable derivative. The analytical solutions of the governing m…
View article: Soliton solutions of thin-film ferroelectric materials equation
Soliton solutions of thin-film ferroelectric materials equation Open
This study examines the thin-film ferroelectric materials equation via two most efficient and reliable integrating schemes. These schemes include the (G′G,1G)-expansion method and the generalized Kudryashov method. The thin-film ferroelect…
View article: Chaotic behavior and construction of a variety of wave structures related to a new form of generalized q-Deformed sinh-Gordon model using couple of integration norms
Chaotic behavior and construction of a variety of wave structures related to a new form of generalized q-Deformed sinh-Gordon model using couple of integration norms Open
The generalized q-deformed sinh Gordon equation (GDSGE) serves as a significant nonlinear partial differential equation with profound applications in physics. This study investigates the GDSGE's mathematical and physical properties, examin…
View article: Analytical investigation and graphical simulations for the solitary wave behavior of Chaffee–Infante equation
Analytical investigation and graphical simulations for the solitary wave behavior of Chaffee–Infante equation Open
Chaffee–Infante equation has several useful applications in the field of electromagnetic waves, fluid dynamics, plasma physics, signal processing in optical fibers and sound waves. In this study, the (1+1)-D and (2+1)-D forms of the Chaffe…
View article: Dynamical analysis and new solitary wave patterns of coupled nonlinear Schrödinger model arising in birefringent fibers
Dynamical analysis and new solitary wave patterns of coupled nonlinear Schrödinger model arising in birefringent fibers Open
Coupled nonlinear Schrödinger type equation is used to represent the transmission of optical signals in birefringent fibers. These types of equations are significant models for a vast range of disciplines, including fluids, nonlinear optic…
View article: Painlevé integrability and a collection of new wave structures related to an important model in shallow water waves
Painlevé integrability and a collection of new wave structures related to an important model in shallow water waves Open
This paper investigates the perturbed Boussinesq equation that emerges in shallow water waves. The perturbed Boussinesq equation describes the properties of longitudinal waves in bars, long water waves, plasma waves, quantum mechanics, aco…
View article: Travelling wave solutions and modulation instability analysis of the nonlinear Manakov-system
Travelling wave solutions and modulation instability analysis of the nonlinear Manakov-system Open
In this paper, the accurate closed-form solutions of the Manakov-system are extracted via the extended [Formula: see text]-expansion method, the [Formula: see text]-expansion method and generalized Kudryashov method. The solutions are obta…
View article: A study of variation in dynamical behavior of fractional complex Ginzburg-Landau model for different fractional operators
A study of variation in dynamical behavior of fractional complex Ginzburg-Landau model for different fractional operators Open
The fractional complex Ginzburg–Landau model is widely used in the description of wave propagation through optical transmission lines. It has many useful applications in the fields of telecommunications and nonlinear optics. This paper inv…
View article: Solitary wave behavior of (2+1)-dimensional Chaffee-Infante equation
Solitary wave behavior of (2+1)-dimensional Chaffee-Infante equation Open
The behavior of gas diffusion in a homogeneous medium is described by the (2+1)-dimensional Chaffee-Infante equation. In this work, the solitary wave behavior of the (2+1)-dimensional Chaffee-Infante equation is studied with the help of ex…
View article: Solitary wave dynamics of thin-film ferroelectric material equation
Solitary wave dynamics of thin-film ferroelectric material equation Open
Ferroelectrics are dielectric materials which exhibit nonlinear behaviors. Thin films made from the ferroelectric materials are used various modern electronics devices. The propagation of solitary polarization in thin-film ferroelectric ma…
View article: Abundant solitary wave solutions of Gardner's equation using three effective integration techniques
Abundant solitary wave solutions of Gardner's equation using three effective integration techniques Open
Gardner's equation has been discussed in the article for finding new solitary wave solutions. Three efficient integration techniques, namely, the Kudryashov's R function method, the generalized projective Ricatti method and $ \frac{G'}{G^2…
View article: A Variety of New Explicit Analytical Soliton Solutions of q-Deformed Sinh-Gordon in (2+1) Dimensions
A Variety of New Explicit Analytical Soliton Solutions of q-Deformed Sinh-Gordon in (2+1) Dimensions Open
In this paper, the (2+1)-dimensional q-deformed Sinh-Gordon model has been investigated via (G′G,1G)-expansion and Sine-Gordon-expansion methods. These techniques successfully retrieve trigonometric as well as hyperbolic solutions, along n…
View article: Construction of new solutions of Korteweg-de Vries Caudrey-Dodd-Gibbon equation using two efficient integration methods
Construction of new solutions of Korteweg-de Vries Caudrey-Dodd-Gibbon equation using two efficient integration methods Open
Korteweg-de Vries Caudrey-Dodd-Gibbon (KdV-CDG) equation describes many physical phenomena in plasma physics, optical fibers, dynamics of the ocean, quantum mechanics, acoustic waves and laser optical applications. In this paper, the KdV-C…
View article: Abundant new optical soliton solutions related to q-deformed Sinh–Gordon model using two innovative integration architectures
Abundant new optical soliton solutions related to q-deformed Sinh–Gordon model using two innovative integration architectures Open
View article: Traveling wave solutions of conformable time-fractional Klien-Fock-Gordon equation by the improved <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si9.svg"><mml:mrow><mml:mi mathvariant="normal">tan</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>ζ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>-expansion method
Traveling wave solutions of conformable time-fractional Klien-Fock-Gordon equation by the improved -expansion method Open
This paper considers the improved tan(Ψ(ζ)/2)-expansion method to retrieve the traveling wave solutions of the time-fractional Klien-Fock-Gordon equation. The quadratic case has been discussed for the proposed model. The conformable deriva…
View article: A Numerical Efficient Splitting Method for the Solution of HIV Time Periodic Reaction-Diffusion
A Numerical Efficient Splitting Method for the Solution of HIV Time Periodic Reaction-Diffusion Open
View article: The generalized projective Riccati equations method for solving quadratic-cubic conformable time-fractional Klien-Fock-Gordon equation
The generalized projective Riccati equations method for solving quadratic-cubic conformable time-fractional Klien-Fock-Gordon equation Open
View article: Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach
Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach Open
The paper investigates the multiple rogue wave solutions associated with the generalized Hirota–Satsuma–Ito (HSI) equation and the newly proposed extended (3 + 1)-dimensional Jimbo–Miwa (JM) equation with the help of a symbolic computation…
View article: Sensitive behavior and optical solitons of complex fractional Ginzburg–Landau equation: A comparative paradigm
Sensitive behavior and optical solitons of complex fractional Ginzburg–Landau equation: A comparative paradigm Open
This article obtains the optical solitons of the complex fractional Ginzburg–Landau equation by the hypothesis of traveling wave and generalized projective Riccati equation scheme. There are four conditions, Kerr law, parabolic law, power …
View article: New and More Solitary Wave Solutions for the Klein-Gordon-Schrödinger Model Arising in Nucleon-Meson Interaction
New and More Solitary Wave Solutions for the Klein-Gordon-Schrödinger Model Arising in Nucleon-Meson Interaction Open
This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucle…
View article: New soliton solutions of nonlinear Kudryashov's equation via Improved tan ( ) 2 -expansion approach in optical ber
New soliton solutions of nonlinear Kudryashov's equation via Improved tan ( ) 2 -expansion approach in optical ber Open
In this article, a newly introduced model nonlinear Kudryashov's equation with anti-cubic non- linearity is considered for extraction of soliton solutions. This model is utilized to depict the propagation of modulated envelope signals whic…
View article: Soliton solutions of the generalized Davey-Stewartson equation with full nonlinearities via three integrating schemes
Soliton solutions of the generalized Davey-Stewartson equation with full nonlinearities via three integrating schemes Open
View article: Optical solitons in birefringent fibers with quadratic-cubic nonlinearity using three integration architectures
Optical solitons in birefringent fibers with quadratic-cubic nonlinearity using three integration architectures Open
In this work, the nonlinear Schrödinger’s equation is studied for birefringent fibers incorporating four-wave mixing. The improved tanϕ(ξ)2-expansion, first integral, and G′G2-expansion methods are used to extract a novel class of optical …
View article: Soliton solutions for non-linear Kudryashov's equation via three integrating schemes
Soliton solutions for non-linear Kudryashov's equation via three integrating schemes Open
This paper considers the non-linear Kudryashov's equation, that is an extension of the well-known dual-power law of refractive index and is analog to the generalized version of anti-cubic non-linearity. The model is considered in the prese…