Open Access
June 2018 Large time asymptotics of solutions for the modified KdV equation with a fifth order dispersive term
Nakao Hayashi, Pavel I. Naumkin
Author Affiliations +
SUT J. Math. 54(1): 7-78 (June 2018). DOI: 10.55937/sut/1538397625

Abstract

We study the large time asymptotics of small amplitude solutions to the Cauchy problem for the modified KdV equation with a fifth order dispersive term.

Funding Statement

The work of N. Hayashi is partially supported by JSPS KAKENHI Grant Numbers JP25220702, JP15H03630. The work of P. I. Naumkin is partially supported by CONACYT and PAPIIT project IN100616.

Acknowledgments

We would like to thank an unknown referee for many useful suggestions and comments.

Citation

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Nakao Hayashi. Pavel I. Naumkin. "Large time asymptotics of solutions for the modified KdV equation with a fifth order dispersive term." SUT J. Math. 54 (1) 7 - 78, June 2018. https://doi.org/10.55937/sut/1538397625

Information

Received: 7 November 2017; Revised: 8 May 2018; Published: June 2018
First available in Project Euclid: 8 June 2022

Digital Object Identifier: 10.55937/sut/1538397625

Subjects:
Primary: 35Q35 , 81Q05

Keywords: Dispersive Equation , generalized KdV equation , large time of solutions , modified KdV equation

Rights: Copyright © 2018 Tokyo University of Science

Vol.54 • No. 1 • June 2018
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