𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The auxiliary equation method for solving the Zakharov–Kuznetsov (ZK) equation

✍ Scribed by Hong-Cai Ma; Yao-Dong Yu; Dong-Jie Ge

Book ID
108077380
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
396 KB
Volume
58
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The extended tanh method for the Zakharo
The extended tanh method for the Zakharov–Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms
✍ Abdul-Majid Wazwaz 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 151 KB

The reliable extended tanh method, that combines tanh with coth, is used for analytic treatment of the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and the generalized forms of these equations. New travelling wave solutions with solitons and periodic structures are determined. The pow

Application of the homotopy perturbation
Application of the homotopy perturbation method to Zakharov–Kuznetsov equations
✍ J. Biazar; F. Badpeima; F. Azimi 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 322 KB

The aim of this paper is to apply the homotopy perturbation method (HPM) to solve the Zakharov-Kuznetsov ZK(m, n, k) equations. The two special cases, ZK(2, 2, 2) and ZK(3, 3, 3), are chosen to show the ability of the method. General formulas for the solutions of ZK(m, n, k) are established. The res

The formally variable separation approac
The formally variable separation approach for the modified Zakharov–Kuznetsov equation
✍ Chang Lin; Xiu-lian Zhang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 129 KB

The formally variable separation approach is used for handling the modified Zakharov-Kuznetsov equation in plasmas. New analytical solutions of nonlinear waves are formally derived for the governing equation of the system. The work introduces entirely new solutions and emphasizes the power of the ne