,Construction of doubly-periodic solutions to nonlinear partial differential equations using improve

• 作 者: Zhao Xue-Qin Zhi Hong-Yan Zhang Hong-Qing
• 机 构: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China“,”Departmen
• 出 处: 中国物理（英文版）
• 发表日期: 2006年10期
• 关键词: Jacobi elliptic function method doubly-periodic solutions Zakharov-Kuznetsov equ

Some doubly-periodic solutions of the Zakharov-Kuznetsov equation are presented. Our approach is to introduce an auxiliary ordinary differential equation and use its Jacobi elliptic function solutions to construct doubly-periodic solutions of the Zakharov-Kuznetsov equation, which has been derived by Gottwald as a two-dimensional model for nonlinear Rossby waves. When the modulus k→1, these solutions reduce to the solitary wave solutions of the equation.