2023
DOI: 10.13108/2023-15-1-122
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Integrable Tolkynay equations and related Yajima-Oikawa type equations

Sh. A. Myrzakulova,
Gulgasyl Nukarbaevna Nugmanova,
N. S. Serikbayev
et al.

Abstract: We consider some nonlinear models describing resonance interactions of long waves and short-waves (shortly, the LS waves models). Such LS models were derived and proposed due to various motivations, which mainly come from the different branches of modern physics, especially, from the fluid and plasma physics. In this paper, we study some of integrable LS models, namely, the Yajima-Oikawa equation, the Newell equation, the Ma equation, the Geng-Li equation and their different modifications and extensions. In pa… Show more

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