NEW SOLUTIONS FOR DIFFERENCE-DIFFERENCE MODELS OF THE PHI(4) EQUATIONAND NONLINEAR KLEIN-GORDON EQUATION IN 1-DIMENSION(1)

Authors
NARITA K
Citation
K. Narita, NEW SOLUTIONS FOR DIFFERENCE-DIFFERENCE MODELS OF THE PHI(4) EQUATIONAND NONLINEAR KLEIN-GORDON EQUATION IN 1-DIMENSION(1), Chaos, solitons and fractals, 7(3), 1996, pp. 365-369
Citations number
7
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
7
Issue
3
Year of publication
1996
Pages
365 - 369
Database
ISI
SICI code
0960-0779(1996)7:3<365:NSFDMO>2.0.ZU;2-J
Abstract
We present a new solution for Hirota's difference-difference model of the phi(4) equation in 1+1 dimension, extending Hirota's kink solution . We also present three new solutions for a difference-difference mode l of the nonlinear Klein-Gordon equation. We discuss asymptotic behavi ours of these solutions in small limits of the lattice spacing.