Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method. (1st November 2018)

• Record Type: Journal Article
• Authors: Zayed, Elsayed M.E.; Shohib, Reham M.A.; Al-Nowehy, Abdul-Ghani
• Is Part Of: Computers & mathematics with applications. Volume 76:issue 9(2018)
• Page Start: 2286
• Page End: 2303
• Publication Date: 2018-11-01
• Subjects: Extended simplest equation method -- Higher-order NLS equation with derivative non-Kerr nonlinear terms -- Quantum Zakharov–Kuznetsov equation -- Solitons and other solutions; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2018.08.027
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this article, we apply the extended simplest equation method for constructing the solitons and other solutions of two nonlinear partial differential equations (PDEs), namely the higher-order nonlinear Schrödinger (NLS) equation with derivative non-Kerr nonlinear terms and the nonlinear quantum Zakharov–Kuznetsov (QZK) equation which play an important role in mathematical physics. The first equation describes pulse of the propagation beyond ultrashort range in optical communication systems, while the second equation arises in quantum magneto plasma. Comparison of our new results in this article with the well-known results is given.