Abstract: A new general Jacobi elliptic function rational expansion method, which is more general and powerful than the tanh method, the sine-cosine method, the Jacobi elliptic function method and the ...

Wikipedia 英語版のヤコビ楕円関数の記事には、以下の図があり、ヤコビ楕円関数と楕円との関係が示されている。 この図について補足する。 これをRのelliptic パッケージを使って、実際に計算したり描画してみる。

In this paper, we first establish explicit evaluations of six classes of hyperbolic sums by special values of the Gamma function by using the tools of the Fourier series expansions and the Maclaurin ...

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(2 + 1) dimensional Boussinesq and Kadomtsev-Petviashvili equation are investigated by employing Jacobi elliptic function expansion method in this paper. As a result, some new forms traveling wave ...

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ABSTRACT: Certain hybrid prototypes of dispersive optical solitons that we are looking for can correspond to new or future behaviors, observable or not, developed or will be developed by optical media ...

of first order differential equations as a initial value problem ω i (0)∈ℝ. The analysis is based on its quadratic first integrals C ij = α i ω j (υ) 2 - α j ω i (υ) 2. When N = 3 this system ...