- 期刊
- OpenAccess
A Mapping Method for Obtaining Exact Travelling Wave Solutions to Nonlinear Evolution Equations
並列摘要
A mapping method is described for obtaining exact travelling wave solutions to nonlinear evolution equations. By means of this method, solitary wave, periodic wave, and kink wave (or shock wave) solutions, which are the three types of travelling waves of particular interest, can, if they exist, be obtained simultaneously for the equation in question, as long as odd- and even-order derivative terms do not coexist in the equation. A generalized Kawahara equation and sinh-Poisson equation are studied to illustrate this method, and some new results are presented.
並列關鍵字
無資料被引用紀錄
Tsai, D. M. (2009). 馬兜鈴酸腎毒性在囓齒類動物的代謝體學研究 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2009.01812
延伸閱讀
- Alzaidy, J. F. (2012). Extended Mapping Method and Its Applications to Nonlinear Evolution Equations. Journal of Applied Mathematics, 2012(), 1143-1156-471. https://doi.org/10.1155/2012/597983
- ya, C. Y., & zhen, M. Q. (2013). A Remark on the Global Attractors of the Nonlinear Evolution Equations. ISRN Applied Mathematics, (), 13-15. https://doi.org/10.1155/2013/372507
- Su, M. T. (2008). A Study on Traveling Wave Solutions of Some Periodic Lattice Differential Equations [master's thesis, National Central University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0031-0207200917352608
- Ding, H. S., Lizama, C., N'Guérékata, G., & Cuevas, C. (2015). Asymptotic Behavior of Nonlinear Evolution Equations. Abstract and Applied Analysis, (2015), 1564-1564. https://doi.org/10.1155/2015/430238
- Rui, W., XiuMa, W., Khalique, C. M., & Zhu, Z. N. (2014). Study of Integrability and Exact Solutions for Nonlinear Evolution Equations. Abstract and Applied Analysis, 2014(), 116-118-514. https://doi.org/10.1155/2014/373745