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 ...

Many complicated advances in research mathematics are spurred by a desire to understand some of the simplest questions about numbers. How are prime numbers distributed in the integers? Are there ...

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The Hirota equation is a higher-order non-linear Schrödinger equation by incorporating third-order dispersion. Two pairs of non-local Hirota equations are studied. One is a parity transformed ...

Department of Mathematics and Computer Sciences, Marist College, Poughkeepsie, NY, USA. This equation arises in many fields of mathematics and physics. It has applications in random processes, optimal ...

In this article, after implementing traveling wave solutions on the Bogoyavlenskii equation ,and then by employing the extended rational methods, we reachsolutions. One of the applicability ways to ...

Van der Waerden’s conjecture mystified mathematicians for 85 years. Its solution shows how polynomial roots relate to one another. The equation x 2 – 5 = 0 is a bit trickier. The polynomial can’t be ...

Peptoids, or n-substitued glycines, are complex and diverse oligomeric structures which have been explored for a number of biomimetic applications including drug delivery, surfactants, and catalysts.