Results 41 to 50 of about 101 (99)

Exact Solutions and Dynamic Analysis for a Fractional Partial Differential Equation Emerging in Mathematical Biology

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G′⁄G)‐expansion method is applied to solve this class of fractional‐order nonlinear differential equations and derive analytical solutions.
Hongqiang Tu, Yongyi Gu, Guotao Wang
wiley   +1 more source

The Dynamical Landscape of the Negative‐Order (3+1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek, Jan Muhammad, Arzu Akbulut, Usman Younas, Taha Radwan, Karim K. Ahmed, Dimitri Mugnai   +6 more
wiley   +1 more source

Dynamics of M-truncated optical solitons and other solutions to the fractional Kudryashov’s equation

The study of soliton theory plays a crucial role in the telecommunication industry’s utilization of nonlinear optics. The principal area of research in the field of optical solitons revolves around optical fibers, metamaterials, metasurfaces, magneto ...
Usman Younas, Aziz Khan, Fengping Yao, Thabet Abdeljawad, Naila Nasreen   +4 more
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Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well‐known equation in biology that shows how light‐attracted bacteria move together. This equation is very useful for analyzing pattern creation, instability regimes, and minor changes in linear situations since bacterial movement is very ...
Jan Muhammad, David Yaro, Usman Younas, Chang Phang   +3 more
wiley   +1 more source

Investigation of solitons in magneto-optic waveguides with Kudryashov’s law nonlinear refractive index for coupled system of generalized nonlinear Schrödinger’s equations using modified extended mapping method

In this work, we investigate the optical solitons and other waves through magneto-optic waveguides with Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation factors using the modified ...
Rabie, Wafaa B., Hamdy M. Ahmed, Hashemi, Mir Sajjad, Niveen M. Badra, Ahmed, Hamdy M., Mostafa Eslami, Badra, Niveen M., Mir Sajjad Hashemi, Mirzazadeh, Mohammad, Wafaa B. Rabie, Mohammad Mirzazadeh, Ahmed, Karim K., Karim K. Ahmed, Eslami, Mostafa   +13 more
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Quiescent Optical Solitons for Radhakrishnan-Kundu-Lakshmanan Equation with Linear Temporal Evolution

This study explores novel quiescent optical soliton solutions to the Radhakrishnan-Kundu-Lakshmanan (RKL) equation, a significant model in nonlinear optics. Utilizing three distinct analytical methods, which are the modified extended Tanh-function method,
Sıvakcı, Şebnem Gökdeniz, Biswas, Anjan, Yildirim, Yakup, SEÇER, Aydın   +3 more
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Investigating the effects of multiplicative white noise on solitons in birefringent fibers through the perturbed Kundu-Eckhaus equation with high dispersion

The study of highly dispersive optical solitons in birefringent fibers is crucial for advancing high-speed optical communication and nonlinear fiber optics.
Hashemi, Mir Sajjad, Arnous, Ahmed H., Zayed, Elsayed M. E., BAYRAM, Mustafa, El-Horbaty, Mahmoud, ÖZIŞIK, Müslüm, Gepreel, Khaled A., SEÇER, Aydın   +7 more
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Quiescent optical solitons with Kudryashov’s generalized quintuple-power law and nonlocal nonlinearity having nonlinear chromatic dispersion with generalized temporal evolution by enhanced direct algebraic method and sub-ODE approach.

We derive stationary optical solitons for the case when the nonlinear refractive index of Kudryashov’s quintuple form is coupled with a nonlocal type of self-phase modulation in the presence of nonlinear chromatic dispersion.
Arnous, Ahmed H., Veni, S. Saravana, Zayed, Elsayed M. E., Hussein, Layth, Biswas, Anjan, El-Shater, Mona, Yıldırım, Yakup, Jawad, Anwar Ja’afar Mohamad   +7 more
core  

Stochastic perturbed Fokas‑Lenells equation having the polynomial law of self‑phase modulation in the presence of spatio‑temporal dispersion

The stochastic perturbed Fokas-Lenells equation having cubic-quintic-septic law of self-phase modulation in the presence of spatio-temporal dispersion is considered in this manuscript.
BAYRAM, Mustafa, ÖZIŞIK, Müslüm, ESEN, Handenur, SEÇER, Aydın   +3 more
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Traveling wave solutions, numerical solutions, and stability analysis of the (2+1) conformal time-fractional generalized q-deformed sinh-Gordon equation

The two-dimensional conformal time-fractional generalized qq-deformed sinh-Gordon equation has been used to model a variety of physical systems, including soliton propagation in asymmetric media, nonlinear waves in optical fibers, quantum field theory ...
Ali Khalid K.
core   +1 more source