BILINEARIZATION METHOD FOR SOLITON EQUATIONS - A NONLINEAR VERSION OF FOURIER'S METHOD.

Shin'ichi Oishi*

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

This paper is a compilation of the present author's recent works on soliton equations. In the first place, it is shown that solutions describing solitons in the background of ripples (i. e. , the generalized soliton solutions) or various soliton equations can be constructed through their bilinear forms. It is then shown that solutions of initial value problems for various soliton equations can be constructed using their generalized soliton solutions. Moreover, it is also clarified that certain types of the Painleve equations can also be solved by the similar technique, where the Painleve equations are the typical examples of equations without movable critical points and describe asymptotic solutions of soliton equations.

本文言語English
ページ(範囲)191-225
ページ数35
ジャーナルMemoirs of the School of Science and Engineering, Waseda University
46
出版ステータスPublished - 1982 1 1

ASJC Scopus subject areas

  • 工学(全般)

フィンガープリント

「BILINEARIZATION METHOD FOR SOLITON EQUATIONS - A NONLINEAR VERSION OF FOURIER'S METHOD.」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル