New exact solutions to the (2+1)-dimensional Ito equation: Extended homoclinic test technique

Autor:	Donglong Li, Jun-Xiao Zhao
Rok vydání:	2009
Předmět:	Computational Mathematics Exact solutions in general relativity Applied Mathematics Numerical analysis Mathematical analysis One-dimensional space Bilinear interpolation Periodic wave Soliton Homoclinic orbit Triangular function Mathematics
Zdroj:	Applied Mathematics and Computation. 215:1968-1974
ISSN:	0096-3003
Popis:	Exact soliton solutions to the (2+1)-dimensional Ito equation are studied based on the idea of extended homoclinic test and bilinear method. Some explicit solutions, such as triangle function solutions, soliton solutions, doubly-periodic wave solutions and periodic solitary wave solutions, are obtained. It shows that the (2+1)-dimensional Ito equation has richer solutions. Besides, the elastic interactions of the solutions and their corresponding physical meaning are discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::987f3812c5e222cf13e905b474ac6c2b https://doi.org/10.1016/j.amc.2009.07.058 Zobrazit plný text záznamu Full Text from ScienceDirect