Tianyong Han
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View article: Exploring shallow water wave phenomena: A fractional approach to the Whitham-Broer-Kaup-Boussinesq-Kupershmidt system
Exploring shallow water wave phenomena: A fractional approach to the Whitham-Broer-Kaup-Boussinesq-Kupershmidt system Open
View article: Dynamics and soliton solutions of the perturbed Schrödinger-Hirota equation with cubic-quintic-septic nonlinearity in dispersive media
Dynamics and soliton solutions of the perturbed Schrödinger-Hirota equation with cubic-quintic-septic nonlinearity in dispersive media Open
This study systematically investigates the dynamics of the perturbed Schrödinger-Hirota equation with cubic-quintic-septic nonlinearity under spatiotemporal dispersion, providing insights into soliton propagation in dispersive media. We be…
View article: Novel insights into high-order dispersion and soliton dynamics in optical fibers via the perturbed Schrödinger–Hirota equation
Novel insights into high-order dispersion and soliton dynamics in optical fibers via the perturbed Schrödinger–Hirota equation Open
View article: Chaotic Pattern and Solitary Solutions for the (21)-Dimensional Beta-Fractional Double-Chain DNA System
Chaotic Pattern and Solitary Solutions for the (21)-Dimensional Beta-Fractional Double-Chain DNA System Open
The dynamical behavior of the double-chain deoxyribonucleic acid (DNA) system holds significant implications for advancing the understanding of DNA transmission laws in the realms of biology and medicine. This study delves into the investi…
View article: Chaotic behavior and optical soliton for the concatenated model arising in optical communication
Chaotic behavior and optical soliton for the concatenated model arising in optical communication Open
This study thoroughly analyzes the concatenated model in the field of optical communication. The chaotic behavior of the system is examined using a periodically perturbed system, which incorporates time series analysis, Poincaré sections, …
View article: Bifurcation, chaotic pattern and traveling wave solutions for the fractional Bogoyavlenskii equation with multiplicative noise
Bifurcation, chaotic pattern and traveling wave solutions for the fractional Bogoyavlenskii equation with multiplicative noise Open
This paper presents a new study that incorporates the Stratonovich integral and conformal fractional derivative into the fractional stochastic Bogoyavlenskii equation with multiplicative noise. The study exposes the behavior of the system,…
View article: Jensen-Marshall-Ky Fan-type inequalities and their applications in business profit management model
Jensen-Marshall-Ky Fan-type inequalities and their applications in business profit management model Open
View article: New traveling wave solutions, phase portrait and chaotic pattern for the stochastic modified Korteweg–de Vries equation
New traveling wave solutions, phase portrait and chaotic pattern for the stochastic modified Korteweg–de Vries equation Open
This article mainly studies the new traveling wave solutions of the stochastic modified Korteweg–de Vries equation with multiplicative noise. The traveling wave solutions in the form of hyperbolic function, trigonometric function, rational…
View article: New traveling solutions, phase portrait and chaotic pattern for the generalized (2+1)-dimensional nonlinear conformable fractional stochastic Schrödinger equations forced by multiplicative Brownian motion
New traveling solutions, phase portrait and chaotic pattern for the generalized (2+1)-dimensional nonlinear conformable fractional stochastic Schrödinger equations forced by multiplicative Brownian motion Open
The paper mainly studies the traveling wave solutions, phase portrait and chaotic pattern of the generalized fractional stochastic Schrödinger equations forced by multiplicative Brownian motion. By using the polynomial complete discriminat…
View article: Chaotic behavior and solitary wave solutions of stochastic-fractional Drinfel’d–Sokolov–Wilson equations with Brownian motion
Chaotic behavior and solitary wave solutions of stochastic-fractional Drinfel’d–Sokolov–Wilson equations with Brownian motion Open
The stochastic-fractional Drinfel’d–Sokolov–Wilson equation is a presently improved nonlinear partial differential equation in electromagnetism and fluid mechanics. Using the theory of planar dynamical systems, the authors first analyzed c…
View article: Numerical and computational investigation of soliton propagation in physical systems via computational schemes: (1+1)-dimensional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si104.svg" display="inline" id="d1e1381"><mml:mi mathvariant="double-struck">MNW</mml:mi></mml:math> integrable equation
Numerical and computational investigation of soliton propagation in physical systems via computational schemes: (1+1)-dimensional integrable equation Open
This study utilizes computational and numerical techniques to investigate the (1+1)-dimensional Mikhailov–Novikov–Wang (MNW) integrable equation, a nonlinear partial differential equation that governs the propagation of solitons in various…
View article: The optical soliton solutions of nonlinear Schrödinger equation with quintic non-Kerr nonlinear term
The optical soliton solutions of nonlinear Schrödinger equation with quintic non-Kerr nonlinear term Open
The purpose of this paper is to study the optical soliton solutions of nonlinear Schrödinger equation with quintic non-Kerr nonlinear term describing the nonlinear wave state of optical solitons, which is a noteworthy and important model i…
View article: Chaotic behavior and traveling wave solutions of the fractional stochastic Zakharov system with multiplicative noise in the Stratonovich sense
Chaotic behavior and traveling wave solutions of the fractional stochastic Zakharov system with multiplicative noise in the Stratonovich sense Open
This study employed the planar dynamics system method to investigate the chaotic behavior and traveling wave solution of the fractional stochastic Zakharov system arising in plasma physics. Through the analysis of the phase portraits, the …
View article: Chaotic behavior and exact traveling wave solutions for the fractional stochastic Bogoyavlenskii equation with multiplicative noise
Chaotic behavior and exact traveling wave solutions for the fractional stochastic Bogoyavlenskii equation with multiplicative noise Open
In this paper, the conformal fractional derivative and the Stratonovich integral are used to investigate the fractional stochastic Bogoyavlenskii equation with multiplicative noise. Using the dynamic system method, the chaotic behavior, se…
View article: Bifurcation, sensitivity analysis and exact traveling wave solutions for the stochastic fractional Hirota–Maccari system
Bifurcation, sensitivity analysis and exact traveling wave solutions for the stochastic fractional Hirota–Maccari system Open
The stochastic fraction Hirota–Maccari system is used as a governing model to check the wave propagation in nonlinear optics, plasma physics and hydrodynamics. Firstly, the random fractional order Hirota–Maccari system is transformed into …
View article: Chebyshev-Jensen-type inequalities and their applications in probability theory with surround system
Chebyshev-Jensen-type inequalities and their applications in probability theory with surround system Open
This paper will establish Chebyshev-Jensen-type inequalities which involving the Chebyshev products as follows:\[\langle X^{1}, X^{2}, \ldots, X^{m}\rangle_{\chi}\geq \left[ X^{1}, X^{2}, \ldots, X^{m}\right]_{\chi}\geq \chi\left( \overlin…
View article: Exact solutions of the stochastic fractional long–short wave interaction system with multiplicative noise in generalized elastic medium
Exact solutions of the stochastic fractional long–short wave interaction system with multiplicative noise in generalized elastic medium Open
The long–short wave interaction system (L-SWIS) is an important model describing the interaction of two waves propagating in a generalized elastic medium. In this study, the bifurcation and the influence of random interaction on the exact …
View article: New single traveling wave solution of the Fokas system via complete discrimination system for polynomial method
New single traveling wave solution of the Fokas system via complete discrimination system for polynomial method Open
In this paper, the traveling wave solution of the Fokas system which represents the irregular pulse propagation in monomode optical fibers is studied by using the complete discriminant system method of polynomials. Firstly, the Fokas syst…
View article: Classification of All Single Traveling Wave Solutions of (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mn>3</a:mn> <a:mo>+</a:mo> <a:mn>1</a:mn> </a:math>)-Dimensional Jimbo-Miwa Equation with Space-Time Fractional Derivative
Classification of All Single Traveling Wave Solutions of ( 3 + 1 )-Dimensional Jimbo-Miwa Equation with Space-Time Fractional Derivative Open
In this paper, the complete discrimination system method is used to construct the single traveling wave solutions for the ( 3 + 1 )-dimensional Jimbo-Miwa equations with space-time fractional derivative. As a result, we get the exact tra…
View article: New Traveling Wave Solutions for the (2 + 1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation
New Traveling Wave Solutions for the (2 + 1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation Open
The principal objective of this article is to construct new exact soliton solutions of the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation which investigates the nonlinear dynamics of magnets. Through using the complete di…
View article: Cater type inequalities involving Cater products and their applications in space science
Cater type inequalities involving Cater products and their applications in space science Open
By means of the mathematical induction, stepwise adjustment method and the reorder method, under the proper hypotheses, we established the following Cater type inequalities involving Cater products:As applications, we solved the problem wh…
View article: Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivative
Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivative Open
This article describes the construction of optical solitons and single traveling wave solutions of Biswas-Arshed equation with the beta time derivative. By using the polynomial complete discriminant system method, a series of traveling wav…
View article: Bifurcation Analysis and Single Traveling Wave Solutions of the Variable‐Coefficient Davey–Stewartson System
Bifurcation Analysis and Single Traveling Wave Solutions of the Variable‐Coefficient Davey–Stewartson System Open
This paper mainly studies the bifurcation and single traveling wave solutions of the variable‐coefficient Davey–Stewartson system. By employing the traveling wave transformation, the variable‐coefficient Davey–Stewartson system is reduced …
View article: Classification of All Single Traveling Wave Solutions of Fractional Coupled Boussinesq Equations via the Complete Discrimination System Method
Classification of All Single Traveling Wave Solutions of Fractional Coupled Boussinesq Equations via the Complete Discrimination System Method Open
In this paper, the complete discrimination system method is used to construct the exact traveling wave solutions for fractional coupled Boussinesq equations in the sense of conformable fractional derivatives. As a result, we get the exact …
View article: White Noise Functional Solutions for Wick-Type Stochastic Fractional Mixed KdV-mKdV Equation Using Extended <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mfenced open="(" close=")"> <a:mrow> <a:msup> <a:mrow> <a:mi>G</a:mi> </a:mrow> <a:mrow> <a:mo>′</a:mo> </a:mrow> </a:msup> <a:mo>/</a:mo> <a:mi>G</a:mi> </a:mrow> </a:mfenced> </a:math>-Expansion Method
White Noise Functional Solutions for Wick-Type Stochastic Fractional Mixed KdV-mKdV Equation Using Extended G ′ / G -Expansion Method Open
In this paper, white noise functional solutions of Wick-type stochastic fractional mixed KdV-mKdV equations have been obtained by using the extended G ′ / G -expansion method and the Hermite transform. Firstly, the Hermite tran…
View article: Cyclic inequalities involving Cater cyclic function
Cyclic inequalities involving Cater cyclic function Open
By means of the mathematical analysis theory, inequality theory, mathematical induction and the dimension reduction method, under the proper hypotheses, we establish the following cyclic inequalities: \[\sum_{i=1}^{n} {a_i^{a_{n+1-i}}}\leq…
View article: Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations
Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations Open
In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. Firstly, the fractio…
View article: Classification of All Single Traveling Wave Solutions of Fractional Perturbed Gerdjikov–Ivanov Equation
Classification of All Single Traveling Wave Solutions of Fractional Perturbed Gerdjikov–Ivanov Equation Open
The fractional perturbed Gerdjikov–Ivanov (pGI) equation plays a momentous role in nonlinear fiber optics, especially in the application of photonic crystal fibers. Constructing traveling wave solutions to this equation is a very challengi…
View article: Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients
Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients Open
In this paper, the dynamical properties and the classification of single traveling wave solutions of the coupled nonlinear Schrödinger equations with variable coefficients are investigated by utilizing the bifurcation theory and the comple…
View article: Efficiency of red cell distribution width in predicting severity and mortality of patients with acute pancreatitis: A protocol for systematic review and meta-analysis
Efficiency of red cell distribution width in predicting severity and mortality of patients with acute pancreatitis: A protocol for systematic review and meta-analysis Open
RDW of AP patients with APACHE II ?8 vs. RDW of AP patients with APACHE II ?8 and RDW of survival AP patients vs.