Results 51 to 60 of about 1,413 (195)

Relations for zeros of special polynomials associated to the Painleve equations

, 2006
A method for finding relations for the roots of polynomials is presented. Our approach allows us to get a number of relations for the zeros of the classical polynomials and for the roots of special polynomials associated with rational solutions of the ...
Ablowitz, Ahmed, Amdeberhan, Bassom, Calogero, Clarkson, Clarkson, Clarkson, Clarkson, Clarkson, Conte, Cosgrove, Demina, Demina, Hone, Iwasaki, Jrad, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Maria V. Demina, Mugan, Nikolai A. Kudryashov, Okamoto, Pickering, Stieltjes, Stieltjes, Szego, Umemura, Veselov, Vorob'ev, Yablonskii   +36 more
core   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Investigation of Dark and Bright Soliton Solutions of Some Nonlinear Evolution Equations

ITM Web of Conferences, 2018
In this paper, generalized Kudryashov method (GKM) is used to find the exact solutions of (1+1) dimensional nonlinear Ostrovsky equation and (4+1) dimensional Fokas equation. Firstly, we get dark and bright soliton solutions of these equations using GKM.
Demiray Seyma Tuluce, Bulut Hasan
doaj   +1 more source

Dynamics of Nonlinear Optics with Different Analytical Approaches

Fractal and Fractional, 2023
In this article, we investigate novel optical solitons solutions for the Lakshmanan–Porsezian–Daniel (LPD) equation, along with group velocity dispersion and spatio-temporal dispersion, via three altered analytical techniques.
Naeem Ullah, Muhammad Imran Asjad, Musawa Yahya Almusawa, Sayed M. Eldin   +3 more
doaj   +1 more source

Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations

, 2011
Meromorphic solutions of autonomous nonlinear ordinary differential equations are studied. An algorithm for constructing meromorphic solutions in explicit form is presented.
Eremenko, Hone, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Lavrent’ev, Malfliet, Maria V. Demina, Nevanlinna, Nikolay A. Kudryashov, Parkes, Sikorsky, Vernov, Vernov   +21 more
core   +1 more source

Postural control in humans: a study using transcutaneous spinal cord stimulation

Experimental Physiology, EarlyView.
Abstract The aim of the study was to investigate the spinal mechanisms involved in regulating postural balance in humans. Participants stood in a normal stance, with their spinal postural networks either non‐invasively activated or not stimulated by electrical stimulation.
Natalia Shamantseva, Ivan Sakun, Tatiana Klishkovskaia, Andrey Aksenov, Vsevolod Lyakhovetskii, Tatiana Moshonkina   +5 more
wiley   +1 more source

Exact solutions of equations for the Burgers hierarchy

, 2011
Some classes of the rational, periodic and solitary wave solutions for the Burgers hierarchy are presented.
Benton, Burgers, Cole, Dmitry I. Sinelshchikov, Fahmy, Gudkov, Heremant, Hopf, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Malfliet, Nikolai A. Kudryashov, Olver, Polyanin, Rosenblatt, Shanga, Wang, Wazwaz, Weiss, Yang   +23 more
core   +1 more source

Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in ...
Shah Muhammad, Abdul Saboor, Muhammad Shakeel, Hameed Gul Ahmadzai, Ivan Giorgio   +4 more
wiley   +1 more source

New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques

Journal of Ocean Engineering and Science, 2023
The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques. The adopted methods are generalized Kudryashov method (GKM), exponential rational function method (ERFM), and ...
Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

Exact solutions of the generalized $K(m,m)$ equations

, 2011
Family of equations, which is the generalization of the $K(m,m)$ equation, is considered.
Biswas, Biswas, Bruzon, Bruzon, Fu, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Lu, Nikolay A. Kudryashov, Odibat, Qin, Rosenau, Rosenau, Rosenau, Rosenau, Svetlana G. Prilipko, Tian, Wang, Xu, Zhu, Zhu   +30 more
core   +1 more source