Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method

被引：46
作者：
Zayed, Elsayed M. E. [1 ]
Shohib, Reham M. A. [1 ]
Al-Nowehy, Abdul-Ghani [2 ]
机构：
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
[2] Taiz Univ, Fac Educ & Sci, Dept Math, Taizi, Yemen
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 76卷 / 09期
关键词：
Extended simplest equation method; Higher-order NLS equation with derivative non-Kerr nonlinear terms; Quantum Zakharov-Kuznetsov equation; Solitons and other solutions; NONLINEAR SCHRODINGER-EQUATION; SOLITARY WAVE SOLUTIONS; POWER-LAW NONLINEARITY; EXP-FUNCTION METHOD; SINE-COSINE METHOD; EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS; RICCATI EQUATION; MAPPING METHOD; FORMS;
D O I：
10.1016/j.camwa.2018.08.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Schrodinger (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. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2286 / 2303
页数：18
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