Results 101 to 110 of about 2,958 (201)

Exact solutions and instability analysis of a fifth-order nonlinear evolution equation exhibiting multi-scale wave structures. [PDF]

Sci Rep
Hasan WM, Ahmed HM, Ahmed AM, Rezk HM, Rabie WB.   +4 more
europepmc   +1 more source

Exact wave structures and bifurcation for the (2+1)-Dimensional bogoyavlensky-Konopelchenko equation using modified extended direct algebraic technique. [PDF]

MethodsX
Elhady MA, Ahmed HM, Ahmed AM, Rezk HM, Rabie WB.   +4 more
europepmc   +1 more source

Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System. [PDF]

Entropy (Basel)
Abdalgadir LM, Ahmad S, Youniso B, Aldwoah K.   +3 more
europepmc   +1 more source

Exploring the new classes of optical soliton solutions with diverse structure for the (2+1)-dimensional paraxial equation in fiber optics via two analytical methods. [PDF]

Sci Rep
Ibrahim IS, Sabi'u J, Iqbal M, Sulaiman S, Alghabban WG, Gouadria S, Nazar NM.   +6 more
europepmc   +1 more source

A symbolic dataset for large language models to solve second kind Fredholm integral equations. [PDF]

Sci Data
Dana Mazraeh H, Eslami S, Afzal Aghaei A, Parand K.   +3 more
europepmc   +1 more source

Efficient Non-Interactive Discrete ReLU over CKKS Using Interpolation Look-Up Table. [PDF]

Entropy (Basel)
Chen Z, Song X, Chen L.
europepmc   +1 more source

Optimized GM(0,N) model with exponential-trigonometric transformations and PSO for queue length prediction at metered roundabouts. [PDF]

Sci Rep
An HK, Zhang S, Ghadiri SM.
europepmc   +1 more source

Optical soliton solutions of the unstable nonlinear Schrödinger equation. [PDF]

Sci Rep
Shabbir S, Saeed ST, Asghar U, Saleem S, Merga FE.   +4 more
europepmc   +1 more source

Lucas-Pantograph Type Exponential, Trigonometric, and Hyperbolic Functions

In this paper, we include some new results for the Lucas calculus. A Lucas-Pantograph type exponential function is introduced. Additionally, we define Lucas-Pantograph type trigonometric functions, and some of their most notable identities are given: parity, sum and difference formulas, Pythagorean identities, double-angle identities, and some special ...
openaire   +2 more sources

Riccati-based analytical framework for solving the potential Korteweg-de Vries equation. [PDF]

Sci Rep
Jawarneh Y, Mukhtar S, Islam S, Amadou Y.   +3 more
europepmc   +1 more source