Dynamic behaviors of the interaction solutions of the Zakharov equation

Author:

Yuan Feng1,Ghanbari Behzad2

Affiliation:

1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China

2. Department of Mathematics, Kermanshah University of Technology, Kermanshah, Iran

Abstract

This paper aims to employ the Darboux transformation (DT) to discover the interaction solutions of the Zakharov equation (Eq. ( 1.2 ) for [Formula: see text]). Through partial degradation of eigenvalues, interaction solutions of the model are constructed on the basis of high-order breather solutions. The study derives interaction solutions involving breather and b-positon solutions through partial degradation of eigenvalues ([Formula: see text]). Further, interaction solutions comprising breather and lump solutions are obtained through partial double degradation of eigenvalues ([Formula: see text]). Then, several interaction solutions containing b-positon and lump solutions are extracted through mixed degradation of eigenvalues ([Formula: see text] and [Formula: see text]). In particular, the dynamic evolution characteristics of these solutions are studied. It is believed that these studies make a significant contribution to the understanding of the Zakharov equation and its possible applications in physics.

Funder

NUPTSF

Natural Science Research of Jiangsu Higher Education Institutions of China

Publisher

World Scientific Pub Co Pte Ltd

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