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math-ph2012
A Rogue-Langmuir-type traveling wave continuous solution to nonlinearly dispersive Schrödinger equation using a polynomial expansion scheme
Karem Boubaker, Lin Zhang
In this paper, traveling wave solutions to the nonlinearly dispersive Schrödinger equation are given in the case of one-dimensional non-relativistic electron confined to a cylindri…
math-ph2012
Analytical approximation for Landau's constants by using BPES method
Karem Boubaker, Lin Zhang
In this study, approximation formulas for evaluating Landau constants are elaborated by using the Boubaker Polynomials Expansion Scheme (BPES). Results are compared to some referre…
math-ph2012
Fermat-linked relations for the Boubaker polynomial sequences via Riordan matrices analysis
Karem Boubaker, Lin Zhang
The Boubaker polynomials are investigated in this paper. Using Riordan matrices analysis, a sequence of relations outlining the relations with Chebyshev and Fermat polynomials have…