New Exact Jacobi Elliptic Function Solutions of Three-Dimensional Nonlinear Helmholtz Equation in a Nonlinear Kerr-Type Medium |
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| Authors: | YANG Yong YAN Zhen-Ya |
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| Affiliation: | Department of Computer Science, Lanzhou University, Lanzhou 730000, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this letter the three-dimensional nonlinear Helmholtz equation is investigated, which describes electro-magnetic wave propagation in a nonlinear Kerr-type medium such that sixteen families of new Jacobi elliptic functionsolutions are obtained, by using our extended Jacobian elliptic function expansion method. When the modulus m → 1or0, the corresponding solitary waves including bright solitons, dark solitons and new line solitons and singly periodicsolutions can be also found. |
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| Keywords: | Jacobi elliptic function solution Helmholtz equation nonlinear Kerr-type medium |
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