Generalized double Casoratian solutions to the four-potential isospectral Ablowitz–Ladik equation

Autor:	Shou-Ting Chen, Jianbing Zhang, Deng-yuan Chen
Rok vydání:	2013
Předmět:	Algebra Numerical Analysis Class (set theory) Nonlinear Sciences::Exactly Solvable and Integrable Systems Isospectral Applied Mathematics Modeling and Simulation Soliton General matrix Bilinear form Nonlinear Sciences::Pattern Formation and Solitons Mathematics Matrix method
Zdroj:	Communications in Nonlinear Science and Numerical Simulation. 18:2949-2959
ISSN:	1007-5704
DOI:	10.1016/j.cnsns.2013.04.024
Popis:	Generalized solutions in double Casoratian form of the four-potential isospectral Ablowitz–Ladik equation possessing bilinear form are derived through a matrix method for constructing double Casoratian entries. A novel class of explicit solutions, such as soliton, rational-like, Matveev, Complexiton and interaction solutions, are obtained by letting the general matrix be some special cases. Interestingly, a periodic solution is deduced from the Complexiton solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::16c11379aa96ca5ab223b0898eee95b1 https://doi.org/10.1016/j.cnsns.2013.04.024 Zobrazit plný text záznamu Full Text from ScienceDirect