Fractional modeling of blood ethanol concentration system with real data application

S Qureshi, A Yusuf, AA Shaikh, M Inc… - … Journal of Nonlinear …, 2019 - pubs.aip.org
In this study, a physical system called the blood ethanol concentration model has been
investigated in its fractional (non-integer) order version. The three most commonly used …

Triki–Biswas model: Its symmetry reduction, Nucci's reduction and conservation laws

A Akbulut, M Mirzazadeh, MS Hashemi… - … Journal of Modern …, 2023 - World Scientific
In this paper, the symmetry reduction method and Nucci's reduction method are used to
obtain exact solutions to the Triki–Biswas equation. Furthermore, the new conservation …

Constructing lump solutions to a generalized Kadomtsev–Petviashvili–Boussinesq equation

X Lü, ST Chen, WX Ma - Nonlinear Dynamics, 2016 - Springer
Associated with the prime number p= 3 p= 3, a combined model of generalized bilinear
Kadomtsev–Petviashvili and Boussinesq equation (gbKPB for short) in terms of the function f …

Analytic study on interactions between periodic solitons with controllable parameters

X Liu, H Triki, Q Zhou, W Liu, A Biswas - Nonlinear Dynamics, 2018 - Springer
Soliton interactions occur when two solitons are close enough. In general, periodic
oscillations can be presented during soliton interactions. The periodic oscillations will lead …

Optical solitons for Biswas–Milovic equation by new extended auxiliary equation method

STR Rizvi, K Ali, M Ahmad - Optik, 2020 - Elsevier
Biswas–Milovic equation is used to narrate the nonlinear dynamics of optical solitons in
nonlinear optics. With the aid of new extended auxiliary method, we find Jacobi elliptic …

[HTML][HTML] Optical solitons with perturbed complex Ginzburg–Landau equation in Kerr and cubic–quintic–septic nonlinearity

MY Wang - Results in Physics, 2022 - Elsevier
This paper secures exact solutions from perturbed complex Ginzburg–Landau equation that
is taken into account with Kerr law and cubic–quintic–septic nonlinearity. Two approaches …

Optical solitons of the perturbation Fokas–Lenells equation by two different integration procedures

AM Elsherbeny, M Mirzazadeh, A Akbulut, AH Arnous - Optik, 2023 - Elsevier
In this study, the general projective Riccati equations and the enhanced Kudryashov's
methods are presented for the optical solitons of the perturbation Fokas–Lenells (FL) …

Optical solitons with complex Ginzburg–Landau equation

M Mirzazadeh, M Ekici, A Sonmezoglu, M Eslami… - Nonlinear …, 2016 - Springer
The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr
and power law nonlinearities. Several integration techniques are applied to retrieve various …

A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics

M Kaplan, A Bekir, A Akbulut - Nonlinear Dynamics, 2016 - Springer
Nonlinear evolution equations form the most fundamental theme in mathematical physics.
The search for exact solutions of nonlinear equations has been of interest in recent years. In …

Abundant soliton solutions for the Hirota–Maccari equation via the generalized exponential rational function method

B Ghanbari - Modern Physics Letters B, 2019 - World Scientific
In this paper, some new traveling wave solutions to the Hirota–Maccari equation are
constructed with the help of the newly introduced method called generalized exponential …