| New Exact Jacobi Elliptic Function Solutions of Three—Dimensional Nonlinear Helmholtz Equation in a Nonlinear Kerr—Type Medium |
| |
| 引用本文： | YANGYong YANZhen－Ya. New Exact Jacobi Elliptic Function Solutions of Three—Dimensional Nonlinear Helmholtz Equation in a Nonlinear Kerr—Type Medium[J]. 理论物理通讯, 2002, 38(6): 657-659 |
| |
| 作者姓名： | YANGYong YANZhen－Ya |
| |
| 作者单位： | [1]DepartmentofComputerScience,LanzhouUniversity,Lanzhou730000,China [2]DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian116024,China |
| |
| 摘 要： | In this letter the three-dimensional nonlinear Helmholtz equation is investigated.which describes electromagnetic wave propagation in a nonlinear Kerr-type medium such that sixteen families of new Jacobi elliptic function solutions are obtained,by using our extended Jacobian elliptic function expansion method.When the modulus m-→1 or 0,the corresponding solitary waves including bright solitons,dark solitons and new line solitons and singly periodic solutions can be also found.
|
| 关 键 词： | 非线性Helmholtz方程 非线性Kerr型介质 椭圆函数解 |
| 收稿时间： | 2002-03-21 |
New Exact Jacobi Elliptic Function Solutions of Three-Dimensional Nonlinear Helmholtz Equation in a Nonlinear Kerr-Type Medium |
| |
| YANG Yong and YAN Zhen-Ya. New Exact Jacobi Elliptic Function Solutions of Three-Dimensional Nonlinear Helmholtz Equation in a Nonlinear Kerr-Type Medium[J]. Communications in Theoretical Physics, 2002, 38(6): 657-659 |
| |
| Authors: | YANG Yong and YAN Zhen-Ya |
| |
| Affiliation: | 1. Department of Computer Science, Lanzhou University,Lanzhou 730000, China;2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
| |
| Abstract: | In this letter the three-dimensional nonlinear Helmholtz equation isinvestigated, which describes electromagnetic wave propagation in a nonlinear Kerr-type medium such that sixteen families of new Jacobi elliptic function solutions are obtained, by using our extended Jacobian elliptic function expansion method. When the modulus m→1 or 0, the correspondingsolitary waves including bright solitons, dark solitons and new line solitons and singly periodic solutions can be also found. |
| |
| Keywords: | Jacobi elliptic function solution Helmholtzequation nonlinear Kerr-type medium |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
|
点击此处可从《理论物理通讯》下载全文 |
