Homoclinic orbits for soliton equations solvable via the quadratic bundle

Autor:	Vassilis M. Rothos, Evgeny V. Doktorov
Rok vydání:	2003
Předmět:	Floquet theory Physics symbols.namesake Nonlinear system Integrable system symbols General Physics and Astronomy Homoclinic bifurcation Heteroclinic orbit Homoclinic orbit Soliton Nonlinear Schrödinger equation Mathematical physics
Zdroj:	Physics Letters A. 314:59-67
ISSN:	0375-9601
DOI:	10.1016/s0375-9601(03)00758-8
Popis:	A method is proposed to generate homoclinic solutions for an integrable nonlinear PDE with periodic boundaries. This approach resembles the dressing method known in the theory of solitons. The pole positions in the dressing factor are given by the complex double points of the Floquet spectrum associated with unstable modes of a seed solution of the nonlinear equation. As an example, we obtain the homoclinic orbit for the modified nonlinear Schrodinger equation solvable by the Wadati–Konno–Ichikawa spectral problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::eee1f48ae0910810780575b4a5e1cdf3 https://doi.org/10.1016/s0375-9601(03)00758-8 Zobrazit plný text záznamu Full Text from ScienceDirect