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Volume 7, Issue 2
Exact Solutions of the ZK( M, N, K) Equation with Generalized Evolution and Time-Dependent Coefficients

Wei Li and Yun-Mei Zhao

J. Info. Comput. Sci. , 7 (2012), pp. 097-110.

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  • Abstract
In this paper, a ZK(m, n, k) equation with generalized evolution and time-dependent coefficients is investigated. Exp-function method combined with F-expansion method are used to determine eight families of exact solutions of exp-function type for this equation. When the parameters are taken as special values, every family of solution can be reduced to some solitary wave solutions and periodic wave solutions. The results presented in this paper improve the previous results.
  • Keywords

Exp-function method F-expansion method Variable-coefficient ZK(m, n, k) equation Riccati equation Exact solutions of exp-function type

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COPYRIGHT: © Global Science Press

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@Article{JICS-7-097, author = {Wei Li and Yun-Mei Zhao}, title = {Exact Solutions of the ZK( M, N, K) Equation with Generalized Evolution and Time-Dependent Coefficients}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {7}, number = {2}, pages = {097--110}, abstract = {In this paper, a ZK(m, n, k) equation with generalized evolution and time-dependent coefficients is investigated. Exp-function method combined with F-expansion method are used to determine eight families of exact solutions of exp-function type for this equation. When the parameters are taken as special values, every family of solution can be reduced to some solitary wave solutions and periodic wave solutions. The results presented in this paper improve the previous results. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22650.html} }
TY - JOUR T1 - Exact Solutions of the ZK( M, N, K) Equation with Generalized Evolution and Time-Dependent Coefficients AU - Wei Li and Yun-Mei Zhao JO - Journal of Information and Computing Science VL - 2 SP - 097 EP - 110 PY - 2024 DA - 2024/01 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22650.html KW - Exp-function method KW - F-expansion method KW - Variable-coefficient ZK(m, n, k) equation KW - Riccati equation KW - Exact solutions of exp-function type AB - In this paper, a ZK(m, n, k) equation with generalized evolution and time-dependent coefficients is investigated. Exp-function method combined with F-expansion method are used to determine eight families of exact solutions of exp-function type for this equation. When the parameters are taken as special values, every family of solution can be reduced to some solitary wave solutions and periodic wave solutions. The results presented in this paper improve the previous results.
Wei Li and Yun-Mei Zhao. (2024). Exact Solutions of the ZK( M, N, K) Equation with Generalized Evolution and Time-Dependent Coefficients. Journal of Information and Computing Science. 7 (2). 097-110. doi:
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