Exotic localized structures based on the symmetrical lucas function of the (2+1)-dimensional modified dispersive Water-Wave system | ||||
| The International Conference on Mathematics and Engineering Physics | ||||
| Article 7, Volume 5, International Conference on Mathematics and Engineering Physics (ICMEP-5), May 2010, Page 1-13 PDF (576.25 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/icmep.2010.29775 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Zied I.A. Al-Muhiameed; Emad A-B. Abdel-Salam | ||||
| Abstract | ||||
| Abstract. In this paper, with the help of the Lucas Riccati method and a linear variable separation method, new variable separation solutions with arbitrary functions are derived for a (2+1)- dimensional modified dispersive water-wave system. Next, we give a positive answer for the following question: Are there any localized excitations derived by the use of another functions? For this purpose, some attention will be paid to dromion, peakon, dromion lattice, multi dromion-solitoff excitations, regular fractal dromions, lumps with self-similar structures and chaotic dromions patterns based on the golden main and the symmetrical hyperbolic and triangular Lucas functions. | ||||
| Keywords | ||||
| Lucas functions; localized excitations; variable separation solutions; modified dispersive water-wave system | ||||
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