Soliton solutions in different classes for the Kaup–Newell model equation-Reference-Cited by-同舟云学术

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

Published:2019-12-19 Issue:03 Volume:34 Page:2050038
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Souleymanou Abbagari¹²³,Korkmaz Alper⁴,Rezazadeh Hadi⁵,Mukam Serge Paulin Takougoum²³,Bekir Ahmet⁶^ORCID

Affiliation:

1. Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroon

2. National Advanced School of Engineering, University of Yaounde I, Cameroon

3. Laboratory of Mechanics, Materials and Structures, Department of Physics, University of Yaounde I, Cameroon

4. Nord Staße 9 Weimar, Germany

5. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

6. Neighbourhood of Akcaglan, Imarli Street 28/4, 26030 Eskisehir, Turkey

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984920500384

Reference50 articles.

1. On the modulational instability of hydromagnetic waves parallel to the magnetic field

2. An exact solution for a derivative nonlinear Schrödinger equation

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4. Generation of short-lived large-amplitude magnetohydrodynamic pulses by dispersive focusing

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