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Article 2022 · 9 citations

Multi and breather wave soliton solutions and the linear superposition principle for generalized Hietarinta equation

Kilic, S. Sule Sener

Abstract

In this paper, we study the generalized (2 + 1)-dimensional Hietarinta equation which is investigated by utilizing Hirota's bilinear method. Also, the bilinear form is obtained, and the N-soliton solutions are constructed. In addition, multi-wave and breather wave solutions of the addressed equation with specific coefficients are presented. Finally, under certain conditions, the asymptotic behavior of solutions is analyzed in both methods. Moreover, we employ the linear superposition principle to determine N-soliton wave solutions for the generalized (2 + 1)-dimensional Hietarinta equation.

Keywords
Hirota bilinear technique linear superposition principle generalized (2+1)-dimensional Hietarinta equation multi- wave and breather wave solutions DIFFERENTIAL-EQUATIONS LUMP SOLUTIONS TRANSFORMATION SYSTEM
WoS Categories
Physics, Applied Physics, Condensed Matter Physics, Mathematical
Citation
Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Year
2022
Volume
36
Issue
02
ISSN
0217-9792
eISSN
1793-6578
DOI
10.1142/S0217979222500199
WoS UID
WOS:000757156100006
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