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1. Soliton solutions in different classes for the Kaup–Newell model equation.

Author

Souleymanou, Abbagari, Korkmaz, Alper, Rezazadeh, Hadi, Mukam, Serge Paulin Takougoum, and Bekir, Ahmet

Subjects
RICCATI equation, HYPERBOLIC functions, EQUATIONS, MAGNETIC fields, DARBOUX transformations, PARALLEL algorithms
Abstract

In this paper, we use the new defined direct algebraic method based on some particular Riccati equations to find exact solutions to a Kaup–Newell model equation. Several new solutions which represent long waves parallel to the magnetic fields have been obtained. Many solutions in generalized hyperbolic and triangular function forms, exponential or logarithmic, are expressed explicitly. Most of the solutions determined in the study are new in the related literature. [ABSTRACT FROM AUTHOR]

Published
2020
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