The Hausdorff dimension of graphs of Weierstrass functions
, 1998 B. Hunt
semanticscholar +1 more source
The algebraic independence of Weierstrass functions and some related numbers
, 1977 W. Brownawell, K. Kubota
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Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise. [PDF]
Sci RepShehab MF, Ahmed HM, Hussein HH.
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Weierstrass Transforms of Positive Functions
Proceedings of the National Academy of Sciences, 1951 openaire +4 more sources
Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation. [PDF]
Sci RepMorgan M, Ahmed HM, Sayed M, Soliman M.
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Dynamical analysis and soliton solutions to (3+1)-dimensional extended quantum nonlinear Zakharov-Kuznetsov equation. [PDF]
Sci RepFatima M +6 more
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Weierstrass functions and a generalization of the additive-multiplicative Weierstrass inequality
Let $J$ denote the interval either $(0,1]$ or $ [1, \infty)$. A positive function $f$ on $J$ with $f(1) =1$ is reffered to as a Weierstrass function if it fulfils the double inequality for $x,y \in J$: $$f(x) + f(y) -1 \leq f(xy) \leq f(x)f(y). $$ By means of such functions we can extend the classical Weierstrass inequality (the above inequality for $f(
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Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method. [PDF]
Sci RepFahim MM, Ahmed HM, Dib KA, Samir I.
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A unified concatenation model for plasma physics: Integrability and soliton solutions. [PDF]
MethodsXZayed EME +3 more
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