A sixth-order nonlinear Schrödinger equation as a reduction of the nonlinear Klein–Gordon equation for slowly modulated wave trains View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-11

AUTHORS

Yuri V. Sedletsky, Ivan S. Gandzha

ABSTRACT

We use the method of multiple scales to derive a sixth-order nonlinear Schrödinger equation governing the evolution of slowly modulated plane-wave solutions to the nonlinear Klein–Gordon equation with polynomial nonlinearity. The coefficients of this sixth-order equation are expressed explicitly in terms of the velocity parameter as well as linear, quadratic, cubic, quadruple, and quintic nonlinear coefficients of the original nonlinear Klein–Gordon equation. More... »

PAGES

1921-1932

References to SciGraph publications

Journal

TITLE

Nonlinear Dynamics

ISSUE

3

VOLUME

94

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-018-4465-x

DOI

http://dx.doi.org/10.1007/s11071-018-4465-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1105681383


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