Results 11 to 20 of about 29,678 (237)

Algebraic Equations Solved with Jacobi Elliptic Functions [PDF]

open access: green, 2013
In this article we solve a class of two parameter polynomial-quintic equation. The solution follows if we consider the Jacobian elliptic function $sn$ and relate it with the coefficients of the equation. The solution is the elliptic singular modulus $k$.
Nikos Bagis
  +6 more sources

Advanced fractional soliton solutions of the Joseph–Egri equation via Tanh–Coth and Jacobi function methods [PDF]

open access: yesScientific Reports
This study introduces new exact soliton solutions of the time-fractional Joseph–Egri equation by employing the Tanh–Coth and Jacobi Elliptic Function methods.
Khadija Shakeel   +6 more
doaj   +2 more sources

Visualization of the solution of Jacobi elliptic expanding function

open access: hybridActa Physica Sinica, 2005
Thanks to the powerful software MATLAB, this paper gets the beautiful figures of a kind of Jacobi elliptic function-sn(x,k);and as an example, we also d raw the figures of solution of Jacobi expanding function of KdV equation in two different parameters.
null Zheng Qiang   +2 more
openaire   +2 more sources

Elliptic Functions With A View Toward Jacobi Hyperbolic Functions

open access: diamondGlobal Journal For Research Analysis, 2012
In Complex Analysis an elliptic function is a doubly periodic meromorphic function which is determined by its value on a fundamental parallelogram which then repeat in a lattice. Elliptic functions must have at least two poles in a fundamental parallelogram. Jacobi elliptic functions can be expressed in various forms namely as a Trigonometric functions,
Parveen Bawa
openaire   +2 more sources

On the extended Euler system and the Jacobi and Weierstrass elliptic functions

open access: diamondJournal of Geometric Mechanics, 2015
Francisco Crespo, Sebastian Ferrer
exaly   +2 more sources

Some new soliton solutions to the higher dimensional Burger–Huxley and Shallow water waves equation with couple of integration architectonic

open access: yesResults in Physics, 2022
In this paper, we retrieve some traveling wave, periodic solutions, bell shaped, rational, kink and anti-kink type and Jacobi elliptic functions of Burger’s equation and Shallow water wave equation with the aid of various integration schemes like ...
Farrah Ashraf   +7 more
doaj   +1 more source

Exponential Riordan arrays and Jacobi elliptic functions [PDF]

open access: yesLinear and Multilinear Algebra, 2021
This paper establishes relationships between elliptic functions and Riordan arrays leading to new classes of Riordan arrays which here are called elliptic Riordan arrays. In particular, the case of Riordan arrays derived from Jacobi elliptic functions that are parameterized by the elliptic modulus $k$ will be treated here.
Mwafise, Arnauld Mesinga, Barry, Paul
openaire   +2 more sources

Dispersive Optical Solitons for Stochastic Fokas-Lenells Equation With Multiplicative White Noise

open access: yesEng, 2022
For the first time, we study the Fokas–Lenells equation in polarization preserving fibers with multiplicative white noise in Itô sense. Four integration algorithms are applied, namely, the method of modified simple equation (MMSE), the method of sine ...
Elsayed M. E. Zayed   +3 more
doaj   +1 more source

Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method

open access: yesFractal and Fractional, 2022
The fractional massive Thirring model is a coupled system of nonlinear PDEs emerging in the study of the complex ultrashort pulse propagation analysis of nonlinear wave functions.
Mohammed Shqair   +3 more
doaj   +1 more source

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