THE NONLINEARIZATION OF A (2+1)-DIMENSIONAL SOLITON EQUATION

Autor:	Dian-Lou Du, Qiang Liu
Rok vydání:	2008
Předmět:	Physics Matrix differential equation Camassa–Holm equation Integrable system Differential equation Riccati equation First-order partial differential equation Exact differential equation Statistical and Nonlinear Physics sine-Gordon equation Condensed Matter Physics Mathematical physics
Zdroj:	Modern Physics Letters B. 22:3179-3194
ISSN:	1793-6640 0217-9849
DOI:	10.1142/s0217984908017709
Popis:	Based on a 2 × 2 eigenvalue problem, a new (2+1)-dimensional soliton equation is proposed. Moreover, we obtain a finite-dimensional Hamiltonian system. Then we verify it is completely integrable in the Liouville sense. In the end, we introduce a set of Hk polynomial integrable, by which we can separate the solition equation into three compantiable Hamiltonian systems of ordinary differential equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d46255e780ef7e2e7a0ddd41d05fc2e9 https://doi.org/10.1142/s0217984908017709 Zobrazit plný text záznamu