Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations | Zendy

D. Hennig | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations

Author(s) -

D. Hennig

Publication year - 2017

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2017/3694103

Subject(s) - mathematics , traveling wave , nonlinear system , fixed point theorem , mathematical analysis , schauder fixed point theorem , term (time) , operator (biology) , fixed point , space (punctuation) , schrödinger's cat , range (aeronautics) , function (biology) , physics , picard–lindelöf theorem , quantum mechanics , computer science , biochemistry , chemistry , materials science , repressor , evolutionary biology , biology , transcription factor , composite material , gene , operating system

The existence of nonzero periodic travelling wave solutions for a general discrete nonlinear Schrödinger equation (DNLS) on one-dimensional lattices is proved. The DNLS features a general nonlinear term and variable range of interactions going beyond the usual nearest-neighbour interaction. The problem of the existence of travelling wave solutions is converted into a fixed point problem for an operator on some appropriate function space which is solved by means of Schauder’s Fixed Point Theorem

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research