Results 71 to 80 of about 843 (183)
Visualization of the solution of Jacobi elliptic expanding function
Acta 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 +1 more source
On a functional equation for Jacobi's elliptic function cn(z; k)
Aequationes Mathematicae, 1984 The author considers the functional equation \((1)\quad (f(x+y)+f(x- y))(f(x)^ 2+f(y)^ 2)=2f(x)f(y)(f(x+y)f(x-y)+1),\) where f:\({\mathbb{C}}\to {\mathbb{C}}\) and x,y are complex variables. He shows first that (1) is a generalization of the cosine functional equation \(f(x+y)+f(x- y)=2f(x)f(y).\) The main result proved in this paper is the following ...
openaire +1 more source
Doubly Periodic Functions and Floquet Theorem
Sultan Qaboos University Journal for ScienceIn complex analysis, an elliptic function is a meromorphic function that is periodic in two directions. Just as a periodic function of a real variable is defined by its values on an interval, an elliptic function is determined by its values on a ...
Nafya H. Mohammed Journal +1 more
doaj +1 more source
The Study of the Solution to a Generalized KdV-mKdV Equation
Abstract and Applied Analysis, 2013 A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is employed to investigate a generalized KdV-mKdV equation which possesses high-order nonlinear terms.
Xiumei Lv, Tengwei Shao, Jiacheng Chen
doaj +1 more source
New exact traveling wave solutions of the coupled Boussinesq equations
Theoretical and Applied Mechanics LettersThe Boussinesq equations, pivotal in the analysis of water wave dynamics, effectively model weakly nonlinear and long wave approximations. This study utilizes the complete discriminant system within a polynomial approach to derive exact traveling wave ...
Mingyue Wang, Youhe Zhou, Jizeng Wang
doaj +1 more source
Alexandria Engineering JournalThe coupled higher-order nonlinear Schrödinger equations (CHNLSEs) are investigated in this paper. This model mimic the actuation of the solitons through multimode fibers.
Ola El-Shamy +4 more
doaj +1 more source
Simultaneous approximation of modulus and values of Jacobi elliptic functions (in Ukrainian) [PDF]
Математичні Студії, 2013 Let $sn_i z$ be algebraically independent Jacobi ellipticfunctions, $(4K_i,2iK'_i)$ be main periods and $gk_1,, gk_2$be their moduli $sn_i z$ ($iin{1,2}$). We estimate from below thesimultaneous appro-xi-ma-tion $gk_1,, gk_2,,sn_1K_2,,sn_2i K'_1$.
Ya. M. Kholyavka
doaj
PhotonicsThis work investigates the optical soliton solutions and their dynamical behaviors of the fractional stochastic Biswas–Arshed equation (FSBAE). By employing the definition of truncated M-fractional derivative and a wave transformation, we reduce the ...
Ou Liao, Zhao Li
doaj +1 more source
Jacobi elliptic functions and change of variable in a convolution
Aequationes mathematicae, 1990 The author considers the functional equation \(G(y+x)/G(y- x)=(f(y)+f(x))/(f(y)-f(x))\) connected with the Brownian motion. He gives the complete set of solutions of this equation in the class of meromorphic functions.
openaire +2 more sources
Journal of Taibah University for ScienceWe apply the modified extended (ME) mapping algorithm to the combined Shallow Water Wave-Kadomtsev-Petviashvili equations in a (2+1)-dimensional framework involving the conformable derivative to construct new analytic solutions.
Ahmed Ramady +6 more
doaj +1 more source