A new approximate analytical approach for dispersion relation of the nonlinear Klein-Gordon equation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

24 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)843-848
Journal / PublicationChaos
Volume11
Issue number4
Publication statusPublished - Dec 2001

Abstract

A novel approach is presented for obtaining approximate analytical expressions for the dispersion relation of periodic wavetrains in the nonlinear Klein-Gordon equation with even potential function. By coupling linearization of the governing equation with the method of harmonic balance, we establish two general analytical approximate formulas for the dispersion relation, which depends on the amplitude of the periodic wavetrain. These formulas are valid for small as well as large amplitude of the wavetrain. They are also applicable to the large amplitude regime, which the conventional perturbation method fails to provide any solution, of the nonlinear system under study. Three examples are demonstrated to illustrate the excellent approximate solutions of the proposed formulas with respect to the exact solutions of the dispersion relation. ©2001 American Institute of Physics.

Citation Format(s)

A new approximate analytical approach for dispersion relation of the nonlinear Klein-Gordon equation. / Lim, C. W.; Wu, B. S.; He, L. H.
In: Chaos, Vol. 11, No. 4, 12.2001, p. 843-848.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review