- 會議論文
A Dual-Petrov-Galerkin Method for a New Integrable Fifth-Order Korteweg-de Vries Equation
並列摘要
This paper extends the dual-Petrov-Galerkin method proposed by Shen, further developed by Yuan et al. and later by Khanal et al. to a new integrable fifthorder KdV type equation. These fifth-order equations arise in modeling different wave phenomena and involve various nonlinear terms.
延伸閱讀
- Doha, E. H., Bhrawy, A. H., & Hafez, R. M. (2011). A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations. Abstract and Applied Analysis, (2011), 4137-4157. https://doi.org/10.1155/2011/947230
- Rui, W. (2014). Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions. Abstract and Applied Analysis, 2014(), 885-895-1193. https://doi.org/10.1155/2014/714214
- Zayed, E. M. E., & Abdelaziz, M. A. M. (2012). The Two-Variable (G\'/G, 1/G)-Expansion Method for Solving the Nonlinear KdV-mKdV Equation. Mathematical Problems in Engineering, 2012(), 1476-1489-492. https://doi.org/10.1155/2012/725061
- Lee, T. M. (1994). Isospectral transformations between soliton-solutions of the Korteweg-de Vries equation [master's thesis, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200004204
- BRACKEN, P. (2005). SYMMETRY PROPERTIES OF A GENERALIZED KORTEWEG-DE VRIES EQUATION AND SOME EXPLICIT SOLUTIONS. International Journal of Mathematics and Mathematical Sciences, 2005(), 2159-2173-170. https://doi.org/10.1155/IJMMS.2005.2159