Ain Shams Engineering JournalThis study investigates the effect of high dispersion, perturbations, cubic-quintic-septic nonlinearity, and multiplicative white noise on the resonant nonlinear Schrödinger equation in the Bohm potential.
Elsayed M.E. Zayed +6 more
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Electronic Journal of Differential Equations, 2002 Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
doaj
On Computing Jacobi's Elliptic Function \texttt{sn}
, 2018 The paper presents a method to compute the Jacobi's elliptic function \texttt{sn} on the period parallelogram. For fixed $m$ it requires first to compute the complete elliptic integrals $K=K(m)$ and $K'=K(1-m).$ The Newton method is used to compute sn(z,m), when $z\in [0,K]\cup[0,i K').$ The computation in any other point does not require the usage of ...
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Note on the multiplication formulas for the Jacobi elliptic functions [PDF]
Pacific Journal of Mathematics, 1955 openaire +2 more sources
Algebraic Equations Solved with Jacobi Elliptic Functions
, 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 $k$.
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Evaluations of Series Related to Jacobi Elliptic Functions
, 2018 Jacobi elliptic functions, 34 pages.arXiv admin note: text overlap with arXiv:1711 ...
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Exact solutions for the Cahn-Hilliard equation in terms of Weierstrass-elliptic and Jacobi-elliptic functions. [PDF]
Sci RepHussain A +5 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]
MethodsXElhady MA +4 more
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Exact solutions and instability analysis of a fifth-order nonlinear evolution equation exhibiting multi-scale wave structures. [PDF]
Sci RepHasan WM +4 more
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Interacting dust-acoustic multi-soliton and periodic waves in strongly coupled dusty plasma with ion-drag force. [PDF]
Sci RepAkter S, Tanjil TS, Hafez MG.
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