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Journals / New Trends in Mathematical Sciences / 2016 / Cilt: 4 Sayı: 3

Soliton solutions of Hirota equation and Hirota-Maccari system

M. M. EL-BORAİ, H. M. EL-OWAİDY, Hamdy M. AHMED, A. H. ARNOUS

Pages
231–238
DOI
—

Abstract

In this paper, the trial equation method is presented to seek the exact solutions of two nonlinear partial differential equations (NLPDEs), namely, the Hirota equation and the Hirota-Maccari system. The obtained solutions are solitary, topological, singular solitons and singular periodic waves. This method is powerful, effective and it can be extended to many NLPDEs.