Can I read Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations on EtoBox?

Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations by Cao, Bintao is a scholarly article available to read on EtoBox.

What is Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations about?

The Jimbo-Miwa equation is the second equation in the well known KP hierarchy of integrable systems, which is used to describe certain interesting (3+1)-dimensional waves in physics but not pass any of the conventional integrability tests. The Konopelchenko-Dubrovsky equations arose in physics in connection with the nonlinear weaves with a weak dispersion. In this paper, we obtain two families of explicit exact solutions with multiple parameter functions for these equations by using Xu's stable-range method and our logarithmic generalization of the stable-range method. These parameter functions make our solutions more applicable to related practical models and boundary value problems.

Author

Cao, Bintao

Published

2009

Language

EN